@article{Fraenkel&Holzman:1995,
	key = "Fraenkel and Holzman 1995",
	author = "A. S. Fraenkel and R. Holzman",
	title = "Gap problems for integer part and fractional
part sequences",
	journal = JNT,
	volume = 50,
	year = 1995,
	pages = "66-86",
	comment = "checked"}

@article{Slater:1967,
	key = "Slater 1967",
	author = "N. B. Slater",
	title = "Gaps and steps for the sequence $n \theta$ mod $1$",
	journal = PCPS,
	volume = 63,
	year = 1967, 
	pages = "1115-1123"}

@article{Sos:1957,
	key = "{S\'os} 1957",
	author = "V. T. {S\'os}",
	title = "On the theory of diophantine approximations. {I}",
	journal = AMASH,
	volume = 8,
	year = 1957,
	pages = "461-471"}

@article{Sos:1958,
	key = "{S\'os} 1958",
	author = "V. T. {S\'os}",
	title = "On the distribution mod $1$ of the sequence $n \alpha$",
	journal = AUSB,
	volume = 1,
	year = 1958,
	pages = "127-134"}

@article{Langevin:1991,
	key = "Langevin 1991",
	author = "M. Langevin",
	title = "Stimulateur cardiaque et suites de {Farey}",
	journal = PMH,
	volume = 23,
	year = 1991,
	pages = "75-86"}

@article{Slater:1964,
	key = "Slater 1964",
	author = "N. B. Slater",
	title = "Distribution problems and physical applications",
	journal = CMPSM,
	volume = 16,
	year = 1964,
	pages = "176-183"}

@article{Fried&Sos:1992,
	key = "Fried and {S\'os} 1992",
	author = "E. Fried and V. T. {S\'os}",
	title = "A generalization of the three-distance theorem for groups",
	journal = AU,
	volume = 29,
	year = 1992,
	pages = "136-149"}

@article{Geelen&Simpson:1993,
	key = "Geelen and Simpson 1993",
	author = "J. F. Geelen and R. J. Simpson",
	title = "A two dimensional {Steinhaus} theorem",
	journal = AJC,
	volume = 8,
	year = 1993,
	pages = "169-197"}

@article{Halton:1965,
	key = "Halton 1965",
	author = "J. H. Halton",
	title = "The distribution of the sequence 
$\lbrace n \xi \rbrace$ ($n = 0, 1, 2, \ldots$)",
	journal = PCPS,
	volume = 61,
	year = 1965,
	pages = "665-670"}

@article{Slater:1950,
	key = "Slater 1950",
	author = "N. B. Slater",
	title = "The distribution of the integers {$N$} for
which {$\lbrace \theta N \rbrace < \phi$}",
	journal = PCPS,
	volume = 46,
	year = 1950,
	pages = "525-534"}

@article{van.Ravenstein:1989,
	key = "van Ravenstein 1989",
	author = "Ravenstein, T. van",
	title = "Optimal spacing of points on a circle",
	journal = FQ,
	volume = 27,
	year = 1989,
	pages = "18-24",
	comment = "checked"}

@article{van.Ravenstein&Winley&Tognetti:1990,
	key = "van Ravenstein, Winley, and Tognetti 1990",
	author = "Ravenstein, T. van and G. Winley and K. Tognetti",
	title = "Characteristics and the three gap theorem",
	journal = FQ,
	volume = 28,
	year = 1990,
	pages = "204-214",
	comment = "checked"}

@article{van.Ravenstein:1988,
	key = "van Ravenstein 1988",
	author = "Ravenstein, T. van",
	title = "The three gap theorem ({Steinhaus} conjecture)",
	journal = JAMSA,
	volume = 45,
	year = 1988,
	pages = "360-370"}

@article{Liang:1979,
	key = "Liang 1979",
	author = "F. M. Liang",
	title = "A short proof of the $3d$ distance theorem",
	journal = DM,
	volume = 28,
	year = 1979,
	pages = "325-326",
	comment = "checked"}

@article{van.Ravenstein:1985,
	key = "van Ravenstein 1985",
	author = "Ravenstein, T. van",
	title = "On the discrepancy of the sequence formed from
multiples of an irrational number",
	journal = BAUSMS,
	volume = 31,
	year = 1985,
	pages = "329-338"}

@article{Graham&van.Lint:1968,
	key = "Graham and van Lint 1968",
	author = "R. L. Graham and Lint, J. H. van",
	title = "On the distribution of $n \theta$ modulo $1$",
	journal = CJM,
	volume = 20,
	year = 1968,
	pages = "1020-1024"}

@article{Suranyi:1958,
	key = "{Sur\'anyi} 1958",
	author = "J. {Sur\'anyi}",
	title = "On the distribution mod $1$ of the sequence $n \alpha$",
	journal = AUSB,
	volume = 1,
	year = 1958,
	pages = "107-111"}

@article{Florek:1951,
	key = "Florek 1951",
	author = "K. Florek",
	title = "Une remarque sur la {r\'epartition} des nombres
$n \xi$ (mod $1$)",
	journal = CM,
	volume = 2,
	year = 1951,
	pages = "323-324"}

@article{Swierczkowski:1958,
	key = "{\'Swierczkowski} 1958",
	author = "S. {\'Swierczkowski}",
	title = "On successive settings of an arc on the
circumference of a circle",
	journal = FM,
	volume = 46,
	year = 1958,
	pages = "187-189",
	comment = "checked"}

@article{Chung&Graham:1976,
	key = "Chung and Graham 1976",
	author = "F. R. K. Chung and R. L. Graham",
	title = "On the set of distances determined by the
union of arithmetic progressions",
	journal = AC,
	volume = 1,
	year = 1976,
	pages = "57-76"}

@article{Alessandri&Berthe:1998,
	key = "Alessandri and {Berth\'e} 1998",
	author = "P. Alessandri and V. {Berth\'e}",
	title = "Three distance theorems and combinatorics on words",
	year = 1998,
	journal = EM,
	volume = 44,
	pages = "103-132"}

@article{Siegel:2001,
	key = "Siegel 2001",
	author = "A. Siegel",
	title = "{Th\'eor\`eme} des trois longueurs et suites
sturmiennes:  mots d'agencement des longueurs",
	journal = AA,
	volume = 97,
	year = 2001,
	pages = "195-210"}


