@unpublished{Granville:1995,
	key = "Granville 1995",
	author = "A. Granville",
	title = "Binomial coefficients (mod $p^q$)",
	year = 1995,
	note = "Unpublished manuscript"}

@incollection{Stein:1989a,
	key = "Stein 1989a",
	author = "A. H. Stein",
	title = "Binomial coefficients not divisible by a prime",
	booktitle = "Number Theory (New York, 1985/1988)",
	series = LNIM,
	volume = 1383,
	year = "{\noopsort{1989a}}1989",
	editor = "D. V. Chudnovsky and G. V. Chudnovsky
and H. Cohn and M. B. Nathanson",
	pages = "170-177",
	publisher = SV}

@article{Ram:1909,
	key = "Ram 1909",
	author = "B. Ram",
	title = "Common factors of ${{n!} \over {m! (n-m)!}}$,
$m = 1, 2, \ldots, n-1$",
	journal = "J. Indian Math. Club",
	volume = 1,
	year = 1909,
	pages = "39-43"}

@article{Glaisher:1899a,
	key = "Glaisher 1899a",
	author = "J. W. L. Glaisher",
	title = "On the residue of a binomial-theorem coefficient
with respect to a prime modulus",
	journal = QJPAM,
	volume = 30,
	year = "{\noopsort{1899a}}1899",
	pages = "150-156"}

@article{Glaisher:1899b,
	key = "Glaisher 1899b",
	author = "J. W. L. Glaisher",
	title = "A congruence theorem relating to sums of
binomial-theorem coefficients",
	journal = QJPAM,
	volume = 30,
	year = "{\noopsort{1899b}}1899",
	pages = "361-383"}

@article{Fine:1947,
	key = "Fine 1947",
	author = "N. J. Fine",
	title = "Binomial coefficients modulo a prime",
	journal = AMM,
	volume = 54,
	year = 1947,
	pages = "589-592",
	comment = "checked"}

@article{Granville&Zhu:1990,
	key = "Granville and Zhu 1990",
	author = "A. Granville and Y. Zhu",
	title = "Representing binomial coefficients as sums of squares",
	journal = AMM,
	volume = 97,
	year = 1990,
	pages = "486-493",
	comment = "checked"}

@article{Harborth:1977,
	key = "Harborth 1977",
	author = "H. Harborth",
	title = "Number of odd binomial coefficients",
	journal = PAMS,
	volume = 62,
	year = 1977,
	pages = "19-22",
	comment = "checked"}

@article{Singmaster:1974a,
	key = "Singmaster 1974",
	author = "D. Singmaster",
	title = "Notes on binomial coefficients {I} --- a generalization of
{Lucas'} congruence",
	journal = JLMS,
	volume = 8,
	year = "{\noopsort{1974a}}1974",
	pages = "545-548"}

@article{Singmaster:1974b,
	key = "Singmaster 1974b",
	author = "D. Singmaster",
	title = "Notes on binomial coefficients {II} --- the least $n$ such that
$p^e$ divides an $r$-nomial coefficient of rank $n$",
	journal = JLMS,
	volume = 8,
	year = "{\noopsort{1974b}}1974",
	pages = "549-554"}

@article{Singmaster:1974c,
	key = "Singmaster 1974c",
	author = "D. Singmaster",
	title = "Notes on binomial coefficients {II} --- any integer divides
almost all binomial coefficients",
	journal = JLMS,
	volume = 8,
	year = "{\noopsort{1974c}}1974",
	pages = "555-560"}

@article{Joris&Oestreicher&Steinig:1985,
	key = "Joris, Oestreicher, and Steinig 1985",
	author = "H. Joris and C. Oestreicher and J. Steinig",
	title = "The greatest common divisor of certain sets of 
binomial coefficients",
	journal = JNT,
	volume = 21,
	year = 1985,
	pages = "101-119",
	comment = "checked"}

@article{Sander:1993,
	key = "Sander 1993",
	author = "J. W. Sander",
	title = "Prime power divisors of binomial coefficients:  reprise",
	journal = JFRAM,
	volume = 437,
	year = 1993,
	pages = "217-220"}

@article{Polya&Alexanderson:1971,
	key = "{Poly\'a} and Alexanderson 1971",
	author = "G. {Poly\'a} and G. L. Alexanderson",
	title = "Gaussian binomial coefficients",
	journal = ELEM,
	volume = 26,
	year = 1971,
	pages = "102-109"}

@article{Wilf:1991,
	key = "Wilf 1991",
	author = "H. S. Wilf",
	title = "Elementary Problem {E 3457}",
	journal = AMM,
	volume = 98,
	year = 1991,
	pages = "754",
	note = "Solution by J. R. Griggs, {\bf 100} (1993), 502--503",
	comment = "checked"}

@incollection{Flath&Peele:1991,
	key = "Flath and Peele 1991",
	author = "D. Flath and R. Peele",
	title = "A carry theorem for rational binomial coefficients",
	booktitle = "Applications of Fibonacci Numbers, Volume 4",
	editor = "G. E. Bergum and A. N. Philippou and A. F.
Horadam",
	year = 1991,
	pages = "109-120",
	publisher = "Kluwer"}

@article{Sved&Pitman:1988,
	key = "Sved and Pitman 1988",
	author = "M. Sved and J. Pitman",
	title = "Divisibility of binomials by prime powers:  a geometrical
approach",
	journal = AC,
	volume = "26A",
	year = 1988,
	pages = "197-222"}

@article{Erdos&Lacampagne&Selfridge:1993,
	key = "Erd\H os, Lacampagne, and Selfridge 1993",
	author = "P. {Erd\H os} and C. B. Lacampagen and J. L. Selfridge",
	title = "Estimates of the least prime factor of a binomial coefficient",
	journal = MC,
	volume = 61,
	year = 1993,
	pages = "215-224"}

@article{Montgomery:1977,
	key = "Montgomery 1977",
	author = "P. L. Montgomery",
	title = "Elementary Problem {E 2686}",
	journal = AMM,
	volume = 84,
	year = 1977,
	pages = "820",
	note = "Solution by R. Breusch, {\bf 86} (1979), 131",
	comment = "checked"}

@article{Williams:1976,
	key = "Williams 1976",
	author = "I. S. Williams",
	title = "On a problem of {Kurt Mahler} concerning binomial
coefficients",
	journal = BAUSMS,
	volume = 14,
	year = 1976,
	pages = "299-302"}

@article{Albree:1972,
	key = "Albree 1972",
	author = "J. Albree",
	title = "The gcd of certain binomial coefficients",
	journal = MMAG,
	volume = 45,
	year = 1972,
	pages = "259-261"}

@article{Mendelsohn:1970,
	key = "Mendelsohn 1970",
	author = "N. S. Mendelsohn",
	title = "Elementary Problem {E 2227}",
	journal = AMM,
	volume = 77,
	year = 1970,
	pages = "308",
	note = "Solution by St. Olaf College Students, {\bf 78} (1971),
201--202",
	comment = "checked"}

@article{Sander:1995a,
	key = "Sander 1995a",
	author = "J. W. Sander",
	title = "A story of binomial coefficients and primes",
	journal = AMM,
	volume = 102,
	year = "{\noopsort{1995a}}1995",
	pages = "802-807",
	comment = "checked"}

@incollection{Pleasants:1985a,
	key = "Pleasants 1985a",
	author = "P. A. B. Pleasants",
	title = "The number of prime factors of binomial coefficients",
	booktitle = "Elementary and Analytic Theory of Numbers",
	series = BCP,
	volume = 17,
	publisher = "PWN --- Polish Scientific Publishers",
	year = "{\noopsort{1985a}}1985",
	pages = "431-438",
	editor = "H. Iwaniec"}

@article{McIntosh:1992,
	key = "McIntosh 1992",
	author = "R. J. McIntosh",
	title = "A generalization of a congruential property of {Lucas}",
	journal = AMM,
	volume = 99,
	year = 1992,
	pages = "231-238",
	comment = "checked"}

@article{Goetgheluck:1988,
	key = "Goetgheluck 1988",
	author = "P. Goetgheluck",
	title = "On prime divisors of binomial coefficients",
	journal = MC,
	volume = 51,
	year = 1988,
	pages = "325-329"}

@article{Dodd&Peele:1991,
	key = "Dodd and Peele 1991",
	author = "F. Dodd and R. Peele",
	title = "Some counting problems involving the multinomial expansion",
	journal = MMAG,
	volume = 64,
	year = 1991,
	pages = "115-122"}

@article{Sander:1992,
	key = "Sander 1992",
	author = "J. W. Sander",
	title = "Prime power divisors of binomial coefficients",
	journal = JFRAM,
	volume = 430,
	year = 1992,
	pages = "1-20"}

@article{Davis&Webb:1990,
	key = "Davis and Webb 1990",
	author = "K. S. Davis and W. A. Webb",
	title = "Lucas' theorem for prime powers",
	journal = EJC,
	volume = 11,
	year = 1990,
	pages = "229-233"}

@article{Garfield&Wilf:1992,
	key = "Garfield and Wilf 1992",
	author = "R. Garfield and H. S. Wilf",
	title = "The distribution of the binomial coefficients modulo $p$",
	journal = JNT,
	volume = 41,
	year = 1992,
	pages = "1-5",
	comment = "checked"}

@article{Hexel&Sachs:1978,
	key = "Hexel and Sachs 1978",
	author = "E. Hexel and H. Sachs",
	title = "Counting residues modulo a prime in {Pascal's} triangle",
	journal = INJM,
	volume = 20,
	year = 1978,
	pages = "91-105"}

@article{Webb:1990,
	key = "Webb 1990",
	author = "W. A. Webb",
	title = "The number of binomial coefficients in residue
classes modulo $p$ and $p^2$",
	journal = CM,
	volume = "60/61",
	year = 1990,
	pages = "275-280"}

@article{Lucas:1878,
	key = "Lucas 1878",
	author = "E. Lucas",
	title = "Sur les congruences des nombres {eul\'eriens} et des
coefficients {diff\'erentiels} des fonctions {trigonom\'etriques},
suivant un module premier",
	journal = BSMF,
	volume = 6,
	year = 1878,
	pages = "49-54"}

@article{Dickson:1896,
	key = "Dickson 1896",
	author = "L. E. Dickson",
	title = "The analytic representation of substitutions on a
power of a prime number of letters with a discussion of the linear
group",
	journal = AM,
	volume = 11,
	year = "1896-1897",
	pages = "65-120",
	comment = "See pp.~75--76"}

@article{Fray:1967,
	key = "Fray 1967",
	author = "R. D. Fray",
	title = "Congruence properties of ordinary and $q$-binomial
coefficients",
	journal = DMJ,
	volume = 34,
	year = 1967,
	pages = "467-480",
	comment = "checked"}

@article{Carlitz:1961,
	key = "Carlitz 1961",
	author = "L. Carlitz",
	title = "A divisibility property of the binomial coefficients",
	journal = AMM,
	volume = 68,
	year = 1961,
	pages = "560-561",
	comment = "checked"}

@article{Howard:1973a,
	key = "Howard 1973a",
	author = "F. T. Howard",
	title = "Formulas for the number of binomial coefficients
divisible by a fixed power of a prime",
	journal = PAMS,
	volume = 37,
	year = "{\noopsort{1973a}}1973",
	pages = "358-362",
	comment = "checked"}

@article{Howard:1971,
	key = "Howard 1971",
	author = "F. T. Howard",
	title = "The number of binomial coefficients divisble by a
fixed power of $2$",
	journal = PAMS,
	volume = 29,
	year = 1971,
	pages = "236-242",
	comment = "checked"}

@article{Wolfram:1984b,
	key = "Wolfram 1984b",
	author = "S. Wolfram",
	title = "Geometry of binomial coefficients",
	journal = AMM,
	volume = 91,
	year = "{\noopsort{1984b}}1984",
	pages = "566-571",
	comment = "checked"}

@article{Larcher:1996,
	key = "Larcher 1996",
	author = "G. Larcher",
	title = "On the number of odd binomial coefficients",
	journal = ACTAMH,
	volume = 71,
	year = 1996,
	pages = "183-203",
	comment = "checked"}

@article{Howard:1973b,
	key = "Howard 1973b",
	author = "F. T. Howard",
	title = "Prime divisors of $q$-binomial coefficients",
	journal = RSMUP,
	volume = 48,
	year = "{\noopsort{1973b}}1973",
	pages = "181-188"}

@article{Barbolosi&Grabner:1996,
	key = "Barbolosi and Grabner 1996",
	author = "D. Barbolosi and P. J. Grabner",
	title = "Distribution des coefficients multinomiaux et $q$-binomiaux
modulo $p$",
	journal = IM,
	volume = 7,
	year = 1996,
	pages = "129-135"}

@article{Kummer:1852,
	key = "Kummer 1852",
	author = "E. E. Kummer",
	title = "{\"Uber} die {Erg\"anzungss\"atze} zu den allgemeinen
{Reciprocit\"atsgesetzen}",
	journal = JFRAM,
	volume = 44,
	year = 1852,
	pages = "93-146"}

@article{Wilson:1998,
	key = "B. Wilson 1998",
	author = "B. Wilson",
	title = "Asymptotic behavior of {Pascal's} triangle modulo a prime",
	journal = AA,
	volume = 83,
	year = 1998,
	pages = "105-116"}

@article{Volodin:1999,
	key = "Volodin 1999",
	author = "N. A. Volodin",
	title = "Multinomial coefficients modulo a prime",
	journal = PAMS,
	volume = 127,
	year = 1999,
	pages = "349-353"}
