On Pascal's triangle modulo $p^2$

• Autorzy: James G. Huard , Blair K. Spearman , Kenneth S. Williams
• Języki publikacji: EN

Słowa kluczowe

EN

binomial coefficients

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 74
• Numer: 1
• Strony: 157-165

Daty

wydano

1997

otrzymano

1996-06-27

poprawiono

1997-01-02

Twórcy

autor

James G. Huard

• Department of Mathematics, Canisius College, Buffalo, New York 14208, U.S.A.

autor

Blair K. Spearman

• Department of Mathematics and Statistics, Okanagan University College, Kelowna, British Columbia, Canada V1V 1V7

autor

Kenneth S. Williams

• Department of Mathematics and Statistics, Carleton University Ottawa, Ontario Canada K1S 5B6

Bibliografia

• [1] K. S. Davis and W. A. Webb, Pascal's triangle modulo 4, Fibonacci Quart. 29 (1991), 79-83.
• [2] E. Hexel and H. Sachs, Counting residues modulo a prime in Pascal's triangle, Indian J. Math. 20 (1978), 91-105.
• [3] J. G. Huard, B. K. Spearman and K. S. Williams, Pascal's triangle (mod 9), Acta Arith. 78 (1997), 331-349.
• [4] G. S. Kazandzidis, Congruences on the binomial coefficients, Bull. Soc. Math. Grèce (N.S.) 9 (1968), 1-12.
• [5] E. Lucas, Sur les congruences des nombres eulériens et des coefficients différentiels des fonctions trigonométriques, suivant un module premier, Bull. Soc. Math. France 6 (1877-8), 49-54.
• [6] D. Singmaster, Notes on binomial coefficients I - a generalization of Lucas' congruence, J. London Math. Soc. (2) 8 (1974), 545-548.
• [7] W. A. Webb, The number of binomial coefficients in residue classes modulo p and $p^2$, Colloq. Math. 60/61 (1990), 275-280.