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@string{STOC88  = "Proc. Twentieth ACM Symp. Theor. Comput."}
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@string{IRE-IT = "IRE Trans. Info. Theory"}
@string{IRE-TEC = "IRE Trans. Electron. Comput."}
@string{ISJM = "Israel J. Math."}
@string{IUMJ = "Indiana Univ. Math. J."}
@string{JALG = "J. Algebra"}
@string{JA = "J. Algorithms"}
@string{JACM = "J. Assoc. Comput. Mach."}
@string{JALC = "J. Automata, Languages, and Combinatorics"}
@string{JAMS = "J. Amer. Math. Soc."}
@string{JAMSA = "J. Austral. Math. Soc. Ser. A"}
@string{JAMSB = "J. Austral. Math. Soc. Ser. B"}
@string{JAR = "J. Automated Reasoning"}
@string{JAUSMS = "J. Austral. Math. Soc."}
@string{JC = "J. Cryptology"}
@string{JCAM = "J. Comput. Appl. Math."}
@string{JCMCC = "J. Combin. Math. Combin. Comput."}
@string{JCOMP = "J. Complexity"}
@string{JCP = "J. Comput. Phys."}
@string{JCSIUT  = "Journal of the College of Science, Imperial 
		   University of Tokyo"}
@string{JCSS = "J. Comput. System Sci."}
@string{JCTA = "J. Combin. Theory. Ser. A"}
@string{JDAM = "J. {d'Analyse} Math."}
@string{JDMV = "Jahres. Deutscher Math.-Verein."}
@string{JDP = "J. de Physique"}
@string{JEPOLY = {J. {\'E}cole Polytechnique}}
@string{JFI = "J. Franklin Inst."}
@string{JFRAM = {J. Reine Angew. Math.}}
@string{JFRANK = "J. Franklin Inst."}
@string{JFSUT = "J. Fac. Sci. Univ. Tokyo"}
@string{JIMCS = "J. Inst. Math \& Comp. Sci. (Math. Ser.)"}
@string{JIMS = {J. Indian Math. Soc.}}
@string{JIOS = "J. Info. Optim. Sci."}
@string{JIP = "J. Information Processing"}
@string{JIPC = "J. Inf. Process. Cybern. EIK"}
@string{JIS = "J. Integer Sequences"}
@string{JJM = "Japanese J. Math."}
@string{JLMS = "J. London Math. Soc."}
@string{JMAA = "J. Math. Anal. Appl."}
@string{JMP = "J. Math. Phys."}
@string{JMPA = "J. Math. Pures Appl."}
@string{JMSJ = "J. Math. Soc Japan"}
@string{JNT = "J. Number Theory"}
@string{JOSA = "J. Optical Soc. Amer."}
@string{JP = "J. Physique"}
@string{JPAA = "J. Pure Appl. Algebra"}
@string{JPAMG = "J. Phys. A:  Math. Gen."}
@string{JPCM = "J. Phys.: Condens. Matter"}
@string{JPDC = "J. Parallel Distrib. Comput."}
@string{JPI = "J. Physique I"}
@string{JPSJ = "J. Physical Soc. Japan"}
@string{JRM = "J. Recreational Math."}
@string{JRNBS = "J. Res. Nat. Bur. Standards"}
@string{JS = "J. Supercomputing"}
@string{JSC = "J. Symbolic Comput."}
@string{JSIAM = "J. Soc. Indust. Appl. Math."}
@string{JSL = "J. Symbolic Logic"}
@string{JSP = "J. Statist. Phys."}
@string{JTNB = "J. {Th\'eorie} Nombres Bordeaux"}
@string{JUCS = "J. Universal Comput. Sci."}
@string{KDVSS  = "Kongelige Danske Videnskabernes Selskabs Skrifter
		       (Naturvidenskabelig og Matematisk Afdeling)"}
@string{KIB = "Kibernetika"}
@string{KMSR = "Kodai Math. Sem. Report"}
@string{KYBER = "Kybernetika"}
@string{LAA = "Linear Algebra and Its Applications"}
@string{LIM = "L'Interm\'ediaire Math."}
@string{LITP = "Rapp. Tec. Lab. Info. Theor. Prog."}
@string{LMA = "Lin. Mult. Alg."}
@string{LMP = "Lett. Math. Phys."}
@string{MA = "Math. Annalen"}
@string{MANMATH = "Manuscripta Math."}
@string{MAPNL = "Mem. Accad. Pontificia Nuovi Lincei"}
@string{MATH = "Mathematika"}
@string{MATHMED = "Math. Medley"}
@string{MATHSCAND = "Math. Scand."}
@string{MATHSCI = "Math. Scientist"}
@string{MATYC = "MATYC Journal"}
@string{MBERLIN = "Monatsberichte der K{\"o}niglichen Preussischen 
		   Akademie der Wissenschaften zu Berlin"}
@string{MC = "Math. Comp."}
@string{MCM = "Mathematical and Computer Modelling"}
@string{MESSM = "Messenger Math."}
@string{MG = "Math. Gazette"}
@string{MI = "Math. Intelligencer"}
@string{MJ = "Mathematica Journal"}
@string{MJAP = "Math. Japonica"}
@string{MJOU = "Math. J. Okayama Univ."}
@string{MLAPOK = "Mat. Lapok"}
@string{MM = "Math. Mag."}
@string{MMAG = "Math. Mag."}
@string{MMATH = "Monatsh. Math."}
@string{MMGH = "Mitt. Math. Ges. Hamburg"}
@string{MMJ = "Michigan Math. J."}
@string{MMP = "Monatsh. Math. Phys."}
@string{MN = "Math. Notes"}
@string{MNACH = "Math. Nachrichten"}
@string{MNB = "Mathematisch-Naturwissenschaftliche {Bl\"atter}"}
@string{MOR = "Math. Oper. Research"}
@string{MPCPS = "Math. Proc. Cambridge Phil. Soc."}
@string{MPETE = "Mem. Imp. Acad. Sci. St.-P{\'e}tersbourg"}
@string{MQET ="Mathematical Questions and Solutions from the 
	       Educational Times"} 
@string{MS = "Mat. Sbornik"}
@string{MSHAM = "Mat. Sem. Univ. Hamburg"}
@string{MSL = "Math. Slovaca"}
@string{MST = "Math. Systems Theory"}
@string{MSTUD = "Math. Student"}
@string{MT = "Math. Teacher"}
@string{MTAC = "Math. Tables Aids Comput."}
@string{MTECH = "MapleTech"}
@string{MTN = "Maple Technical Newsletter"}
@string{MV = "Mat. Vesnik"}
@string{MZ = "Math. Zeitschrift"}
@string{MZA = "Mat. Zametki"}
@string{NAM = "Nouvelles Annales de {Math\'ematiques}"}
@string{NAMS = "Notices Amer. Math. Soc."}
@string{NAS = "Proc. Nat. Acad. Sci. U. S. A."}
@string{NAVW = "Nieuw Archief voor Wiskunde"}
@string{NCM = "Nouv. Corresp. Math."}
@string{NDJFL = "Notre Dame J. Formal Logic"}
@string{NCASP = "Novi Comm. Acad. Sci. Petrop."}
@string{NJMGTA = "Nova J. Math. Game Theory Algebra"}
@string{NM = "Numer. Math."}
@string{NMT = "Nordisk Mat. Tidskr."}
@string{NTAP = "Number Theory and Physics"}
@string{NYJM = "New York J. Math."}
@string{NZMM = "New Zealand Math. Mag."}
@string{OAW = "{\"Oster.} Akad. Wiss. Math.-naturw. Klasse"}
@string{OJM = "Osaka J. Math."}
@string{OKDVSF = "Oversigt over det Kongelige Danske Videnskabernes
		  Selskabs Forhandlinger"}
@string{OPT = "Optimization"}
@string{PAMS = "Proc. Amer. Math. Soc."}
@string{PARL = "Pattern Recog. Letters"}
@string{PC = "Parallel Computing"}
@string{PCPS = "Proc. Cambridge Phil. Soc."}
@string{PEMS = "Proc. Edinburgh Math. Soc."}
@string{PHT = "Philosophical Transactions"}
@string{PHYA = "Physica A"}
@string{PHYD = "Physica D"}
@string{PHYE = "Physica E"}
@string{PIASA = "Proc. Indian Acad. Sci. A"}
@string{PIM = "Publ. Inst. Math. (Beograd)"}
@string{PIT = "Problems Inform. Transmission"}
@string{PJA = "Proc. Japan Acad."}
@string{PJAA = "Proc. Japan Acad. Ser. A"}
@string{PJM = "Pacific J. Math."}
@string{PJR = "Philips J. Res."}
@string{PK = "Problemy Kibernetiki"}
@string{PKAWA = "Proc. Konin. Akad. Wetenschappen, Amsterdam"}
@string{PKNAW = "Proc. Konin. Neder. Akad. Wet."}
@string{PKNAWA = "Proc. Konin. Neder. Akad. Wet. Ser. A"}
@string{PLA = "Physics Letters A"}
@string{PLMS = "Proc. Lond. Math. Soc."}
@string{PM = "Portugal. Math."}
@string{PMAG = "Philosophical Magazine"}
@string{PMAT = "Prace Mat."}
@string{PMD = "Publ. Math. (Debrecen)"}
@string{PMH = "Period. Math. Hung."}
@string{PNAS = "Proc. Nat. Acad. Sci. U. S. A."}
@string{PPI = "Problemy Peredachi Informatsii"}
@string{PR = "Phys. Reports"}
@string{PRA = "Phys. Rev. A"}
@string{PRB = "Phys. Rev. B"}
@string{PRE = "Phys. Rev. E"}
@string{PRL = "Phys. Rev. Lett."}
@string{PRSE = "Proc. Roy. Soc. Edinburgh"}
@string{PRSL = "Proc. Roy. Soc. London"}
@string{PSAM = "Proc. Symp. Appl. Math."}
@string{PSPM = "Proc. Symp. Pure Math."}
@string{PSIM = "Proc. Steklov Inst. Math."}
@string{PT = "Phase Transitions"}
@string{QJM = "Quart. J. Math."}
@string{QJMAM = "Quart. J. Mech. Appl. Math."}
@string{QJMOX = "Quart. J. Math. Oxford"}
@string{QJPAM = "Quart. J. Pure Appl. Math."}
@string{QPPAM = "Queen's Papers in Pure and Applied Math."}
@string{QSGMAP = "Quel. Stud. Ges. Math. Astron. Phys."}
@string{RAE = "Real Analysis Exch."}
@string{RAIRO = "RAIRO Inform. Th\'eor. App."}
@string{RCD = "Random \& Comput. Dynamics"}
@string{RCMP = "Rend. Circ. Mat. Palermo"}
@string{RESM = "Result. Math."}
@string{RJ = "Ramanujan J."}
@string{RM = "Ricerche Mat."}
@string{RMJM = "Rocky Mountain J. Math."}
@string{RMP = "Reviews in Mathematical Physics"}
@string{RMS = "Russian Math. Surveys"}
@string{RMUP = "Riv. Mat. Univ. Parma"}
@string{RNAPOLI = "Rend. Accad. Sci. Fis. Mat. Napoli"}
@string{RPALERMO = "Rend. Circ. Mat. Palermo"}
@string{RRMPA = "Rev. Roumaine Math. Pures Appl."}
@string{RSMFM = "Rend. Sem. Mat. Fis. Milano"}
@string{RSMUP = "Rend. Sem. Mat. Univ. Padova"}
@string{RSTRUCT = "Random Structures and Algorithms"}
@string{RUMA = "Rev. Un. Mat. Argentina"}
@string{SA = "Scientific American"}
@string{SAM = "Stud. Appl. Math."}
@string{SBA = "Sitzungsber. Berlin Akad."}
@string{SCIM = "Scientific Monthly"}
@string{SCIR = "Sci. Record"}
@string{SCISIN = "Scientia Sinica"}
@string{SCP = "Sci. Comput. Programming"}
@string{SDPP = "{S\'eminaire} Delange-Pisot-Poitou"}
@string{SF = "Semigroup Forum"}
@string{SHAS = "Sitz. Heidelberger Akad. Wiss. (Mat.-Natur. Kl.)"}
@string{SIAMJADM = "SIAM J. Algebraic Discrete Methods"}
@string{SIAMJAM = "SIAM J. Appl. Math."}
@string{SIAMJC = "SIAM J. Comput."}
@string{SIAMJDM = "SIAM J. Disc. Math."}
@string{SIAMR = "SIAM Review"}
@string{SIGACT = "SIGACT News"}
@string{SJM = "Siberian J. Math."}
@string{SLC = "{S\'em.} Lothar. Combin."}
@string{SM = "Scripta Math."}
@string{SMZ = "Sibirskii Matematicheskii Zhurnal"}
@string{SOE = "Sphinx-Oedipe"}
@string{SOOJM = "Soochow J. Math."}
@string{SPAW = "Sitzungsberichte der Preussischen Akademie der Wissenschaften, Phys.-Math. Klasse"}
@string{SPD = "Soviet Phys. Dokl."}
@string{SS = "Simon Stevin"}
@string{SSC = "Solid State Commun."}
@string{SSMH = "Stud. Sci. Math. Hung."}
@string{STM = "Studia Math."}
@string{STNB = "{S\'eminaire} de {Th\'eorie} des Nombres de Bordeaux"}
@string{SWJPAM = "Southwest J. Pure Appl. Math."}
@string{TAMS = "Trans. Amer. Math. Soc."}
@string{TCJ = "Computer J."}
@string{TCPS = "Trans. Cambridge Philos. Soc."}
@string{TCS = "Theoret. Comput. Sci."}
@string{THCS = "Theory Comput. Systems"}
@string{TIA = "Theoret. Informatics Appl."}
@string{TJM = "Tokyo J. Math."}
@string{TR = "Technology Review"}
@string{TST = "The Science Terrapin"}
@string{TOPLAS = "ACM Trans. Prog. Lang. Syst."}
@string{TYCMJ = "Two-Year College Math. J."}
@string{UM = "Utilitas Mathematica"}
@string{UMZ = "Ukrainskii Matematicheskii Zhurnal"}
@string{UMNAUK = "Uspekhi. Mat. Nauk"}
@string{VC = "Visual Computer"}
@string{VKCSN = "V{\v e}stn{\'i}k Kr{\'a}lovsk{\'e} {\v C}esk{\'e} 
                 Spole{\v c}nosti Nauk, T{\v r}{\'i}da 
                 Matematiko-P{\v r}irodov{\v e}deck{\' a}"}
@string{ZAMM = "Z. Angew. Math. Mech."}
@string{ZMLGM = "Zeitschrift {f\"ur} mathematische Logik und Grundlagen der Mathematik"}
@string{ZMP = "Z. Math. Phys."}
@string{ZOR = "Zeitschrift {f\"ur} Operations Research"}
@string{ZPSK = "Z. Phonetik. Sprachwiss. Kommuniationsforsch."}
@string{ZVMIMF = "\v Z. Vy\v cisl. Mat. i Mat. Fiz."}
@string{ZW = "Z. Wahrscheinlichkeitstheorie und Verw. Gebiete"}
@string{ZWVG = "Z. Wahrscheinlichkeitstheorie und Verw. Gebiete"}

@preamble{ "\newcommand{\noopsort}[1]{} "
	# "\newcommand{\singleletter}[1]{#1} " }
@article{Fraenkel&Simpson:1995,
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@unpublished{Culik&Kari:1995,
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@techreport{Dumas:1989,
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@misc{Allouche:1983,
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@article{Christol&Kamae&MendesFrance&Rauzy:1980,
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	address = "Haifa, Israel",
	month = "June",
	year = 1973}

@article{Breitbart:1971,
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	journal = DAN,
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	year = 1971,
	pages = "16-19",
	note = "In Russian.  English translation in {\it Soviet Math.\ Dokl.}
{\bf 12} (1971), 10--14"}

@article{Grinberg&Korshunov:1966,
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	author = "V. S. Grinberg and A. D. Korshunov",
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	journal = PPI,
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	year = 1966,
	pages = "96-99",
	note = "In Russian.  English translation in
{\it Problems of Information Transmission} {\bf 2} (1966),
75--78"}

@article{Karp:1967,
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	author = "R. M. Karp",
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@book{Li&Vitanyi:1993,
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	publisher = SV,
	address = "New York",
	year = 1993}

@article{Breitbart:1976,
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	author = "Y. Breitbart",
	title = "Some bounds on the complexity of predicate
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@article{Abramson&Breitbart&Lewis:1980,
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@article{Rosser&Schoenfeld:1962,
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@book{Bach&Shallit:1996,
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	publisher = "MIT Press",
	year = 1996}

@misc{Breitbart:1970,
	key = "Breitbart 1970",
	author = "Y. Breitbart",
	title = "Realization of boolean functions by finite automata",
	note = "{\it NTL (Novosti Technicheskoi Literature), Seria Automatica,
Telemechanika i Priborostroenie} No.~4 (1970)"}

@article{Takaoka:1978,
	key = "Takaoka 1978",
	author = "T. Takaoka",
	title = "A definition of measures over language space",
	journal = JCSS,
	volume = 17,
	year = 1978,
	pages = "376-387"}

@incollection{Moore:1956,
	key = "Moore 1956",
	author = "E. F. Moore",
	title = "Gedanken-experiments on sequential machines",
	booktitle = "Automata Studies",
	editor = "C. E. Shannon and J. McCarthy",
	series = "Annals of Mathematics Studies",
	volume = 34,
	publisher = PUP,
	address = "Princeton",
	year = 1956,
	pages = "129-153"}

@article{Kuzmin:1965,
	key = "Kuzmin 1965",
	author = "V. A. {Kuz'min}",
	title = "Realization of functions of the algebra of logic by means
of automata, normal algorithms, and {Turing} machines",
	journal = PK,
	volume = 13,
	pages = "75-96",
	year = 1965,
	note = "In Russian"}

@article{Liskovets:1969,
	key = "Liskovets 1969",
	author = "V. A. Liskovets",
	title = "The number of connected initial automata",
	journal = "Kibernetika",
	volume = 5,
	year = 1969,
	pages = "16-19",
	note = "In Russian.  English translation in
{\it Cybernetics} {\bf 5} (1969), 259--262"}

@article{Korshunov:1967,
	key = "Korshunov 1967",
	author = "A. D. Korshunov",
	title = "Asymptotic estimates of the number of finite automata",
	journal = "Kibernetika",
	volume = 3,
	number = 2,
	year = 1967,
	pages = "12-19",
	note = "In Russian.  English translation in
{\it Cybernetics} {\bf 3} (2) (1967), 9--14"}

@incollection{Robinson:1985,
	key = "Robinson 1985",
	author = "R. W. Robinson",
	title = "Counting strongly connected finite automata",
	booktitle = "Graph Theory with Applications to Algorithms and
Computer Science",
	editor = "Y. Alavi and G. Chartrand and L. Lesniak and D. R. Lick and
C. E. Wall",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1985,
	pages = "671-685"}

@article{Harrison:1965,
	key = "Harrison 1965",
	author = "M. A. Harrison",
	title = "A census of finite automata",
	journal = CJM,
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	year = 1965,
	pages = "100-113"}

@article{Chrobak:1986,
	key = "Chrobak 1986",
	author = "M. Chrobak",
	title = "Finite automata and unary languages",
	journal = TCS,
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	year = 1986,
	pages = "149-158"}

@incollection{Mandl:1973,
	key = "Mandl 1973",
	author = "R. Mandl",
	title = "Precise bounds associated with the subset construction
on various classes of nondeterministic finite automata",
	booktitle = "Proc. 7th Princeton Conference on Information and System
Sciences",
	year = 1973,
	pages = "263-267"}

@article{Bach:1990,
	key = "Bach 1990",
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	year = 1990,
	pages = "355-380"}

@article{Bach&Huelsbergen:1993,
	key = "Bach and Huelsbergen 1993",
	author = "E. Bach and L. Huelsbergen",
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	journal = MC,
	volume = 61,
	year = 1993,
	pages = "69-82"}

@incollection{Denes&Kim&Roush:1983,
	key = "{D\'enes}, Kim and Roush 1983",
	author = "J. {D\'enes} and K. H. Kim and F. W. Roush",
	title = "Automata on one symbol",
	booktitle = "Studies in Pure Mathematics:  To the Memory of Paul {Tur\'an}",
	publisher = "{Birkh\"auser} Verlag",
	address = "Basel",
	year = 1983,
	pages = "127-134"}

@article{Lyubich:1964a,
	key = "Lyubich 1964a",
	author = "Ju. I. Lyubich",
	title = "Estimates of the number of states that arise in the determinization
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	journal = DAN,
	volume = 155,
	year = 1964,
	pages = "41-43",
	note = "In Russian.  English translation in {\it Soviet Mathematics} {\bf 5}
(1964), 345--348"}

@article{Lyubich:1964b,
	key = "Lyubich 1964b",
	author = "Ju. I. Lyubich",
	title = "Estimates for optimal determinization of nondeterministic
autonomous automata",
	journal = SMZ,
	volume = 5,
	year = 1964,
	pages = "337-355",
	note = "In Russian"}

@article{Lyubich&Livshits:1965,
	key = "Lyubich and Livshits 1965",
	author = "Ju. I. Lyubich and E. M. Livshits",
	title = "Estimates for the weight of a regular event over a 1-letter
alphabet",
	journal = SMZ,
	volume = 6,
	year = 1965,
	pages = "122-126",
	note = "In Russian"}

@article{Alt&Mehlhorn:1975,
	key = "Alt and Mehlhorn 1975",
	author = "H. Alt and K. Mehlhorn",
	title = "A language over a one symbol alphabet requiring only
$O(\log\log n)$ space",
	journal = "SIGACT News",
	volume = 7,
	number = 4,
	year = 1975,
	pages = "31-33"}

@techreport{Schmidt:1978,
	key = "Schmidt 1978",
	author = "E. M. Schmidt",
	title = "Succinctness of descriptions of context-free, regular,
and finite languages",
	institution = "Department of Computer Science,
University of Aarhus, Denmark",
	number = "DAIMI PB-84",
	month = "January",
	year = "1978"}

@article{Glaister&Shallit:1998,
	key = "Glaister and Shallit 1998",
	author = "I. Glaister and J. O. Shallit",
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	journal = CC,
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@inproceedings{Lang:1992,
	key = "Lang 1992",
	author = "K. J. Lang",
	title = "Random {DFA's} can be approximately learned from sparse
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	booktitle = "Proc. 5th Annual ACM Workshop on Computational Learning Theory",
	publisher = "ACM Press",
	year = 1992,
	pages = "45-52"}

@article{Veelenturf:1978,
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	author = "L. P. J. Veelenturf",
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	year = 1978,
	pages = "167-170"}

@incollection{Shallit&Breitbart:1994,
	key = "Shallit and Breitbart 1994",
	author = "J. O. Shallit and Y. Breitbart",
	title = "Automaticity:  properties of a 
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	booktitle = STACS94,
	editor = "P. Enjalbert et al.",
	publisher = SV,
	series = LNICS,
	volume = 775,
	year = 1994,
	pages = "619-630"}

@inproceedings{Stearns&Hartmanis&Lewis:1965,
	key = "Stearns, Hartmanis, and Lewis 1965",
	author = "R. E. Stearns and J. Hartmanis and Lewis {II}, P. M.",
	title = "Hierarchies of memory limited computations",
	booktitle = "Proc. 6th Annual Symposium on Switching
Circuit Theory and Logical Design",
	year = 1965,
	pages = "179-190"}

@inproceedings{Lewis&Stearns&Hartmanis:1965,
	key = "Lewis, Stearns, and Hartmanis 1965",
	author = "Lewis {II}, P. M. and R. E. Stearns and J. Hartmanis",
	title = "Memory bounds for recognition of context-free and
context-sensitive languages",
	booktitle = "Proc. 6th Annual Symposium on Switching
Circuit Theory and Logical Design",
	year = 1965,
	pages = "191-202",
	note = "Errata, p. 190"}

@inproceedings{Meyer&Fischer:1971,
	key = "Meyer and Fischer 1971",
	author = "A. R. Meyer and M. J. Fischer",
	title = "Economy of description by automata, grammars, and formal
systems",
	booktitle = "Proc. 12th Annual Symposium on Switching and
Automata Theory",
	year = 1971,
	pages = "188-191"}

@article{Moore:1971,
	key = "Moore 1971",
	author = "F. R. Moore",
	title = "On the bounds for state-set size in the proofs of equivalence
between deterministic, nondeterministic, and two-way finite automata",
	journal = IEEE-TC,
	volume = 20,
	year = 1971,
	pages = "1211-1214"}

@article{Angluin:1978,
	key = "Angluin 1978",
	author = "D. Angluin",
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	journal = ICTRL,
	volume = 39,
	year = 1978,
	pages = "337-350"}

@article{Champarnaud&Pin:1989,
	key = "Champarnaud and Pin 1989",
	author = "J.-M. Champarnaud and J.-E. Pin",
	title = "A maximin problem on finite automata",
	journal = DAM,
	volume = 23,
	year = 1989,
	pages = "91-96"}

@article{Breitbart&Kozmidiadi:1969,
	key = "Breitbart and Komidiadi 1969",
	author = "Y. Breitbart and V. A. Kozmidiadi",
	title = "Two subclasses of {Turing} machines reducible to
finite automata",
	journal = DAN,
	volume = 187,
	year = 1969,
	pages = "9-10",
	note = "In Russian.  English translation in
{\it Soviet Math.\ Dokl.} {\bf 10} (1969), 763--764"}

@article{Breitbart&Kozmidiadi:1972,
	key = "Breitbart and Kozmidiadi 1972",
	author = "Y. Breitbart and V. A. Kozmidiadi",
	title = "Subclasses of {Turing} machines reducible to finite
automata",
	journal = "Kibernetika",
	volume = 8,
	number = 1,
	year = 1972,
	pages = "31-41",
	note = "In Russian.  English translation in
{\it Cybernetics} {\bf 8} (1972), 32--43"}

@article{Shallit&Breitbart:1996,
	key = "Shallit and Breitbart 1996",
	author = "J. O. Shallit and Y. Breitbart",
	title = "Automaticity {I}:  {Properties} of a measure of descriptional complexity",
	journal = JCSS,
	volume = 53,
	year = 1996,
	pages = "10-25"}
	
@article{Condon&Hellerstein&Pottle&Wigderson:1998,
	key = "Condon, Hellerstein, Pottle, and Wigderson 1998",
	author = "A. Condon and L. Hellerstein and S. Pottle and A. Wigderson",
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and probabilistic states",
	journal = SIAMJC,
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	year = 1998,
	pages = "739-762"}

@article{Shallit:1996,
	key = "Shallit 1996",
	author = "J. O. Shallit",
	title = "Automaticity {IV}:  Sequences, sets, and diversity",
	journal = JTNB,
	volume = 8,
	year = 1996,
	pages = "347-367"}

@article{Chytil:1986,
	key = "Chytil 1986",
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	year = 1986,
	pages = "283-322"}

@article{Shallit:2000,
	key = "Shallit 2000",
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	year = 2000,
	pages = "255-268"}
@article{Ehrenfeucht&Rozenberg:1983d,
	key = "Ehrenfeucht and Rozenberg 1983d",
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	author = "Ehrenfeucht, A. and Rozenberg, G.",
	journal = RAIRO,
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	year = "{\noopsort{1983d}}1983",
	pages = "13-22"}

@article{Prouhet:1851,
	key = "Prouhet 1851",
        author = "Prouhet, E.",
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des nombres",
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	comment = "checked"}

@article{Thue:1906,
	key = "Thue 1906",
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        volume = 7,
        year = 1906,
        pages = "1-22",
        note = "Reprinted in {\it Selected Mathematical Papers of Axel Thue},
        T. Nagell, editor, Universitetsforlaget, Oslo, 1977, pp.~139--158"}

@article{Arshon:1937,
	key = "Arshon 1937",
        author = "Arshon, S. E.",
        title = "Proof of the existence of asymmetric infinite sequences",
        journal = MS,
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        pages = "769-779",
        note = "In Russian, with French abstract."}

@article{RobbinsH:1937,
	key = "H. Robbins 1937",
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        title = "On a class of recurrent sequences",
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	comment = "checked"}

@article{Morse:1938,
	key = "Morse 1938",
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 chess",
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@article{Leech:1957,
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@article{Noland:1962,
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	title = "Advanced Problem 5030:  an
infinite sequence of $3$ symbols with no adjacent repeats",
	journal = AMM,
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	note = "Solution by C. H. Braunholtz, {\bf 70} (1963), 675--676",
	comment = "checked"}

@article{Dean:1965,
	key = "Dean 1965",
        author = "Dean, R. A.",
        title = "A sequence without repeats on $x$, $x^{-1}$,
$y$, $y^{-1}$",
        journal = AMM,
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	note = "checked"}

@article{Gardner:1961a,
	key = "Gardner 1961a",
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	year = "{\noopsort{1961a}}1961",
	pages = "164-172"}

@article{Gardner:1961b,
	key = "Gardner 1961b",
	author = "M. Gardner",
	title = "Mathematical games",
	journal = SA,
	volume = 204,
	number = 2,
	month = "February",
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@book{Gardner:1967a,
	key = "Gardner 1967a",
	author = "Gardner, M.",
	title = "The Numerology of Dr. Matrix",
	publisher = SSCHU,
	address = NY,
	year = "{\noopsort{1967a}}1967",
	comment = "pages 32-33, 90-95"}

@article{Hedlund:1967,
	key = "Hedlund 1967",
        author = "Hedlund, G. A.",
        title = "Remarks on the work of {Axel Thue} on sequences",
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@article{Pleasants:1970,
	key = "Pleasants 1970",
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@article{BrownT:1971,
	key = "T. Brown 1971",
        author = "Brown, T. C.",
        title = "Is there a sequence on four symbols in which no two adjacent
segments are permutations of one another?",
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	comment = "checked"}

@article{Dejean:1972,
	key = "Dejean 1972",
        author = "{Dejean}, F.",
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	comment = "checked"}

@article{Entringer&Jackson&Schatz:1974,
	key = "Entringer, Jackson, and Schatz 1974",
        author = "Entringer, R. C. and Jackson, D. E. and Schatz, J. A.",
        title = "On nonrepetitive sequences",
        journal = JCTA,
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	comment = "checked"}

@article{Berstel:1978,
	key = "Berstel 1978",
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        journal = "{S\'eminaire} de {Th\'eorie} des {Nombres}",
        year = "1978--1979",
        pages = "18.01--18.15"}

@inproceedings{Cummings:1978,
	key = "Cummings 1978",
        author = "Cummings, L. J.",
        title = "On the construction of {Thue} sequences",
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Comput.",
        year = 1978,
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        note = "( = {\it Congressus Numerantium} {\bf 21})"}

@article{Bean&Ehrenfeucht&McNulty:1979,
	key = "Bean, Ehrenfeucht, and McNulty 1979",
        author = "Bean, D. A. and Ehrenfeucht, A. and McNulty, G.",
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@article{Prodinger&Urbanek:1979,
	key = "Prodinger and Urbanek 1979",
        author = "Prodinger, H. and Urbanek, F. J.",
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blocks",
        journal = DM,
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        year = 1979,
        pages = "277-289",
	comment = "checked"}

@inproceedings{Cummings:1981,
	key = "Cummings 1981",
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        title = "Overlapping substrings and {Thue's} problem",
        booktitle = "Proc. 3rd Caribbean Conf. Combinat. and Comput.",
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@article{Shelton:1981a,
	key = "Shelton 1981a",
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@article{Shelton:1981b,
	key = "Shelton 1981b",
        author = "Shelton, R.",
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@article{Crochemore:1982a,
	key = "Crochemore 1982a",
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@article{Ross&Winklmann:1982,
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@article{Seebold:1982,
	key = "{S\'e\'ebold} 1982",
        author = "{S\'e\'ebold}, P.",
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et mot de {Fibonacci}",
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@article{Shelton&Soni:1982,
	key = "Shelton and Soni 1982",
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@article{Brandenburg:1983,
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@article{Brinkhuis:1983,
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@article{Carpi:1983a,
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@techreport{Elser:1983,
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        title = "Repeat-free sequences",
        month = "September",
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        number = "LBL-16632"}

@article{Karhumaki:1983,
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@book{Lothaire:1983,
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@book{Lothaire:2002,
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	author = "M. Lothaire",
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@article{Szusz:1985,
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@article{Berger&Felzenbaum&Fraenkel:1986,
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	author = "M. A. Berger and A. Felzenbaum and A. S. Fraenkel",
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@article{deBruijn:1989,
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@article{Lasjaunias:1997,
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@inproceedings{Grabner:1993b,
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	note = "Solution by A. N. 't Woord, {\bf 103} (1996), 703--704",
	comment = "checked"}

@article{Larcher&Tichy:1989,
	key = "Larcher and Tichy 1989",
	author = "G. Larcher and R. F. Tichy",
	title = "Some number-theoretical properties of generalized
sum-of-digit functions",
	journal = AA,
	volume = 52,
	year = 1989,
	pages = "183-196",
	comment = "checked"}

@article{Grabner&Tichy:1990,
	key = "Grabner and Tichy 1990",
	author = "P. J. Grabner and R. F. Tichy",
	title = "Contributions to digit expansions with respect to
linear recurrences",
	journal = JNT,
	volume = 36,
	year = 1990,
	pages = "160-169",
	comment = "checked"}

@article{Grabner&Tichy:1991,
	key = "Grabner and Tichy 1991",
	author = "P. J. Grabner and R. F. Tichy",
	title = "$\alpha$-expansions, linear recurrences, and the
sum-of-digits function",
	journal = MANMATH,
	volume = 70,
	year = 1991,
	pages = "311-324"}

@article{Petho&Tichy:1989,
	key = "{Peth\"o} and Tichy 1989",
	author = "A. {Peth\"o} and R. F. Tichy",
	title = "On digit expansions with respect to linear recurrences",
	journal = JNT,
	volume = 33,
	year = 1989,
	pages = "243-256",
	comment = "checked"}

@incollection{Kirschenhofer&Prodinger&Tichy:1985,
	key = "Kirschenhofer, Prodinger, and Tichy 1985",
	author = "P. Kirschenhofer and H. Prodinger and R. F. Tichy",
	title = "{\"Uber} die {Ziffernsumme} {nat\"urlicher} {Zahlen}
und verwandte {Probleme}",
	booktitle = "Zahlentheoretische Analysis",
	series = LNIM,
	volume = 1114,
	year = 1985,
	pages = "55-65",
	publisher = SV}

@incollection{Grabner&Kirschenhofer&Prodinger&Tichy:1993,
	key = "Grabner, Kirschenhofer, Prodinger, and Tichy 1993",
	author = "P. J. Grabner and P. Kirschenhofer and H. Prodinger and R. F. Tichy",
	title = "On the moments of the sum-of-digits function",
	booktitle = "Applications of Fibonacci Numbers, Vol. 5",
	editor = "G. E. Bergum and A. N. Philippou and A. F. Horadam",
	publisher = "Kluwer",
	year = 1993,
	pages = "263-271"}

@article{Foster:1992,
	key = "Foster 1992",
	author = "D. M. E. Foster",
	title = "Averaging the sum of digits function to an even base",
	journal = PEMS,
	volume = 35,
	year = 1992,
	pages = "449-455"}

@article{Heppner:1976,
	key = "Heppner 1976",
	author = "E. Heppner",
	title = "{\"Uber} die {Summe} der {Ziffern} {nat\"urlicher} {Zahlen}",
	journal = AUSB,
	volume = 19,
	year = 1976,
	pages = "41-43"}

@article{Katai:1977a,
	key = "{K\'atai} 1977a",
	author = "I. {K\'atai}",
	title = "On the sum of digits of primes",
	journal = AMASH,
	volume = 30,
	year = 1977,
	pages = "169-173"}

@article{Shiokawa:1974a,
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	author = "I. Shiokawa",
	title = "On the sum of digits of prime numbers",
	journal = PJA,
	volume = 50,
	year = "{\noopsort{1974a}}1974",
	pages = "551-554"}

@article{Shiokawa:1974b,
	key = "Shiokawa 1974b",
	author = "I. Shiokawa",
	title = "On a problem in additive number theory",
	journal = MJOU,
	volume = 16,
	year = "{\noopsort{1974b}}1974",
	pages = "167-176"}

@article{Prodinger:1982,
	key = "Prodinger 1982",
	author = "H. Prodinger",
	title = "Generalizing the sum of digits function",
	journal = SIAMJADM,
	volume = 3,
	year = 1982,
	pages = "35-42"}

@article{Kirschenhofer:1983,
	key = "Kirschenhofer 1983",
	author = "P. Kirschenhofer",
	title = "Subblock occurrences in the $q$-ary representation of $n$",
	journal = SIAMJADM,
	volume = 4,
	year = 1983,
	pages = "231-236"}

@article{Terr:1996b,
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	volume = 34,
	year = "{\noopsort{1996b}}1996",
	pages = "349-355",
	comment = "checked"}

@article{Porges:1945,
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	volume = 52,
	year = 1945,
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	comment = "checked"}

@article{BrownT:1994,
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	journal = FQ,
	volume = 32,
	year = 1994,
	pages = "207-210",
	comment = "checked"}

@article{Kennedy&Cooper:1991,
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	author = "R. E. Kennedy and C. N. Cooper",
	title = "An extension of a theorem by {Cheo} and {Yien} concerning
digital sums",
	journal = FQ,
	volume = 29,
	year = 1991,
	pages = "145-149",
	comment = "checked"}

@article{Cooper&Kennedy:1986,
	key = "Cooper and Kennedy 1986",
	author = "C. N. Cooper and R. E. Kennedy",
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concerning digital sums",
	journal = IJMMS,
	volume = 9,
	year = 1986,
	pages = "817-820"}

@article{Kennedy&Cooper:1989b,
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application to digital sums",
	journal = JIMCS,
	volume = 2,
	year = "{\noopsort{1989b}}1989",
	pages = "147-151"}

@article{Cooper&Kennedy:1992,
	key = "Cooper and Kennedy 1992",
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	title = "Digital sum sums",
	journal = JIMCS,
	volume = 5,
	year = 1992,
	pages = "45-49"}

@article{Cooper&Kennedy:1994,
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	author = "C. N. Cooper and R. E. Kennedy",
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	journal = JIMCS,
	volume = 7,
	year = 1994,
	pages = "121-127"}

@article{Stolarsky:1975,
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	author = "K. B. Stolarsky",
	title = "Digital sums and binomial coefficients",
	journal = NAMS,
	volume = 22,
	year = 1975,
	pages = "A669-A770",
	note = "Abstract 728-A7"}

@article{Kirschenhofer&Tichy:1984,
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	author = "P. Kirschenhofer and R. F. Tichy",
	title = "On the distribution of digits in {Cantor}
representations of integers",
	journal = JNT,
	volume = 18,
	year = 1984,
	pages = "121-134",
	comment = "checked"}

@article{Besicovitch:1934b,
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	journal = MA,
	volume = 110,
	year = 1934,
	pages = "321-330"}

@article{Kashihara:1995,
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	journal = MATHSCI,
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	year = 1995,
	number = 1,
	pages = "67-68"}

@article{Coquet:1982,
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	author = "J. Coquet",
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	number = "3-4",
	year = 1982,
	pages = "161-165"}

@article{Mauduit&Sarkozy:1996,
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	author = "C. Mauduit and A. {S\'ark\"ozy}",
	title = "On the arithmetic structure of sets characterized by
sum of digits properties",
	journal = JNT,
	volume = 61,
	year = 1996,
	pages = "25-38",
	comment = "checked"}

@article{Fouvry&Mauduit:1996a,
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	journal = AA,
	volume = 77,
	year = "{\noopsort{1996a}}1996",
	pages = "339-351",
	comment = "checked"}

@article{Dumont&Thomas:1997,
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	volume = 62,
	year = 1997,
	pages = "19-38",
	comment = "checked"}

@inproceedings{Olivier:1971b,
	key = "Olivier 1971b",
	author = "M. Olivier",
	title = "Repartition des valeurs de la fonctions ``somme des chiffres''",
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@inproceedings{Olivier:1971c,
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	author = "M. Olivier",
	title = "{R\'epartition} des valeurs de la fonction
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	booktitle = SDPP,
	year = "{\noopsort{1971c}}1970/1971",
	pages = "15.01-15.05"}

@inproceedings{MendesFrance:1970,
	key = "{Mend\`es France} 1970",
	author = "{Mend\`es France}, M.",
	title = "Fonctions $g$-additives et les suites {\`a} spectre vide",
	booktitle = SDPP,
	year = "1970/1971",
	pages = "10.01-10.06"}

@article{Stevens&Hunsberger:1995,
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	year = 1995,
	pages = "285-288"}

@article{Bateman&Bradley:1997,
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	year = 1997,
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	note = "Solution by D. Callan and R. Stong, {\bf 106} (1999),
366--367"}

@incollection{Kamae:1977,
	key = "Kamae 1977",
	author = "T. Kamae",
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	year = 1977,
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@article{Lindstrom:1997,
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	comment = "checked"}

@article{Fouvry&Mauduit:1996b,
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	author = "E. Fouvry and C. Mauduit",
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	journal = MA,
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	pages = "571-599"}

@article{Thuswaldner:1998a,
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@article{Shallit:1984,
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@article{Klosinski&Alexanderson&Hillman:1982,
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@incollection{Allouche&Shallit:1990b,
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        author = "J.-P. Allouche and J. O. Shallit",
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        publisher = SV}

@article{Kano&Shiokawa:1988,
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	volume = 12,
	year = 1988,
	pages = "43-48",
	note = "In Japanese"}

@article{Cooper&Kennedy:1997,
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	author = "C. N. Cooper and R. E. Kennedy",
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are relatively prime to their digital sum and its complement",
	journal = JIMCS,
	volume = 10,
	year = 1997,
	pages = "173-180",
	comment = "Real author seems to be C. Cooper"}

@article{Kamae:1978,
	key = "Kamae 1978",
	author = "T. Kamae",
	title = "Sum of digits to different bases and mutual singularity
of their spectral measures",
	journal = OJM,
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	year = 1978,
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@article{Mauduit&Sarkozy:1997,
	key = "Mauduit and {S\'ark\"ozy} 1997",
	author = "C. Mauduit and A. {S\'ark\"ozy}",
	title = "On the arithmetic structure of the integers whose
sum of digits is fixed",
	journal = AA,
	volume = 81,
	year = 1997,
	pages = "145-173"}

@article{Cooper&Kennedy&Renberg:1998,
	key = "Cooper, Kennedy, and Renberg 1998",
	author = "C. Cooper and R. E. Kennedy and M. Renberg",
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	journal = FQ,
	volume = 36,
	year = 1998,
	pages = "407-415"}

@article{Drmota&Gajdosik:1998a,
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	author = "M. Drmota and J. Gajdosik",
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	year = "{\noopsort{1998a}}1998",
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@incollection{SchmidtW:1983,
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	author = "W. M. Schmidt",
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integer $s$-tuples",
	booktitle = "Studies in Pure Mathematics to the Memory of
Paul {Tur\'an}",
	editor = "P. Erd\H os",
	publisher = "{Birkh\"auser}",
	year = 1983,
	pages = "605-622"}

@article{Thuswaldner:1999a,
	key = "Thuswaldner 1999a",
	author = "J. M. Thuswaldner",
	title = "The sum of digits function in number fields:  distribution
in residue classes",
	journal = JNT,
	volume = 74,
	year = "{\noopsort{1999a}}1999",
	pages = "111-125"}

@article{Thuswaldner:1999b,
	key = "Thuswaldner 1999b",
	author = "J. M. Thuswaldner",
	title = "Summatory functions of digital sums occurring in
cryptography",
	journal = PMH,
	volume = 38,
	year = "{\noopsort{1999b}}1999",
	pages = "111-130"}

@article{Riede:1998,
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	year = 1998,
	pages = "72-75"}

@article{Gittenberger&Thuswaldner:1999,
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	author = "B. Gittenberger and J. M. Thuswaldner",
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	journal = CMB,
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	pages = "68-77"}

@article{Hoit:1999,
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@article{Toshimitsu:1998,
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	pages = "107-113"}

@article{Cooper&Kennedy:2000,
	key = "Cooper and Kennedy 2000",
	author = "C. Cooper and R. E. Kennedy",
	title = "Finding moments of the large digit function using {Delange's} method",
	journal = JIMCS,
	volume = 13,
	year = 2000,
	pages = "35-41"}

@article{Drmota&Larcher:2001,
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	author = "M. Drmota and G. Larcher",
	title = "The sum-of-digits function and
uniform distribution modulo $1$",
	journal = JNT,
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	year = 2001,
	pages = "65-96"}

@article{Tichy&Turnwald:1986,
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	author = "R. F. Tichy and G. Turnwald",
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	year = 1986,
	pages = "351-366"}

@article{MendesFrance:1967,
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	author = "{Mend\`es France}, M.",
	title = "Nombres normaux, applications aux fonctions
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	journal = JDAM,
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	year = 1967,
	pages = "1-56"}

@article{Coquet:1980,
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	author = "J. Coquet",
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@article{Drmota&Skalba:2000a,
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@article{Drmota&Gajdosik:1998b,
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	author = "M. Drmota and J. Gajdosik",
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@article{MendesFrance:1973b,
	key = "{Mend\`es France} 1973b",
	author = "{Mend\`es France}, M.",
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@incollection{MendesFrance:1973c,
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	author = "{Mend\`es France}, M.",
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	year = "{\noopsort{1973c}}1973/1974",
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@article{dOcagne:1886,
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@article{Head:1981,
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@incollection{Head&Lando:1986,
	key = "Head and Lando 1986",
	author = "T. Head and B. Lando",
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	year = 1986,
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@article{Culik:1978,
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@article{Terlutte:1987,
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@inproceedings{Ehrenfeucht&Rozenberg:1977,
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	pages = "81-87"}

@incollection{Head:1984,
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@book{Rozenberg&Salomaa:1980,
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	author = "G. Rozenberg and A. Salomaa",
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@incollection{Kobayashi&Otto:1997,
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@incollection{Cassaigne:1994,
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	author = "J. Cassaigne",
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@article{Harju:1977,
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@article{Herman&Lindenmayer&Rozenberg:1975,
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	author = "G. T. Herman and A. Lindenmayer and G. Rozenberg",
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	comment = "checked"}

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@book{Jeffreys:1973,
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@article{Lambert:1761,
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@book{Perron:1960,
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@article{Becker:1991,
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@article{Goodstein:1941,
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@article{Spiegel:1953,
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@article{Oppenheim:1954,
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@article{Diananda&Oppenheim:1955,
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@article{Oppenheim:1968,
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@article{Chatterjee:1940,
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@article{Erdos:1957,
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@article{Vijayaraghavan:1939,
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@article{Zun:1987,
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@article{Chen&Ruzsa:1999,
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@article{Martinez:2001,
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@article{Borwein:1991,
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@article{Duverney:1996,
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@article{VandenEynden:1995,
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@techreport{Chvatal:1994,
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@articlenovol{Carpi:1993c,
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@article{Shen&Huang:1996,
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@incollection{Dumas:1993b,
	key = "Dumas 1993b",
	author = "P. Dumas",	
	title = "Algebraic aspects of $B$-regular series",
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        volume = 700,
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@article{Dumas&Flajolet:1996,
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	author = "P. Dumas and P. Flajolet",
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le cas cyclotomique",
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@article{Strauss&Shallit:1990,
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@article{Allouche&Scheicher&Tichy:2000,
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@article{Landau:1903,
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@article{Massias&Nicolas&Robin:1989,
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@article{Massias&Nicolas&Robin:1988,
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@incollection{Melancon:1996a,
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@incollection{Melancon:1996b,
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@book{Knuth:1969,
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@phdthesis{Dekking:1980c,
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@inproceedings{Salomaa:1975,
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@incollection{MendesFrance:1989b,
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@phdthesis{Salon:1989b,
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	institution = "Dipartimento di Matematica e Appl.,
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@phdthesis{Hof:1992,
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	institution = "Department of Mathematics, University of Winnipeg",
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@incollection{Kolpakov&Kucherov&Tarannikov:1998,
	key = "Kolpakov, Kucherov, and Tarannikov 1998",
	author = "R. Kolpakov and G. Kucherov and Y. Tarannikov",
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	author = "R. Kolpakov and G. Kucherov",
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@incollection{Kolpakov&Kucherov:1999b,
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	author = "J. Berstel",
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@incollection{Richomme&Wlazinski:2000,
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