On Pascal’s triangle modulo p 2

James Huard; Blair Spearman; Kenneth Williams

Colloquium Mathematicae (1997)

  • Volume: 74, Issue: 1, page 157-165
  • ISSN: 0010-1354

How to cite

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Huard, James, Spearman, Blair, and Williams, Kenneth. "On Pascal’s triangle modulo $p^2$." Colloquium Mathematicae 74.1 (1997): 157-165. <http://eudml.org/doc/210498>.

@article{Huard1997,
author = {Huard, James, Spearman, Blair, Williams, Kenneth},
journal = {Colloquium Mathematicae},
keywords = {binomial coefficients; number of binomial coefficients; Pascal's triangle},
language = {eng},
number = {1},
pages = {157-165},
title = {On Pascal’s triangle modulo $p^2$},
url = {http://eudml.org/doc/210498},
volume = {74},
year = {1997},
}

TY - JOUR
AU - Huard, James
AU - Spearman, Blair
AU - Williams, Kenneth
TI - On Pascal’s triangle modulo $p^2$
JO - Colloquium Mathematicae
PY - 1997
VL - 74
IS - 1
SP - 157
EP - 165
LA - eng
KW - binomial coefficients; number of binomial coefficients; Pascal's triangle
UR - http://eudml.org/doc/210498
ER -

References

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  1. [1] K. S. Davis and W. A. Webb, Pascal's triangle modulo 4, Fibonacci Quart. 29 (1991), 79-83. Zbl0732.11009
  2. [2] E. Hexel and H. Sachs, Counting residues modulo a prime in Pascal's triangle, Indian J. Math. 20 (1978), 91-105. Zbl0499.10005
  3. [3] J. G. Huard, B. K. Spearman and K. S. Williams, Pascal's triangle (mod 9), Acta Arith. 78 (1997), 331-349. Zbl0874.11024
  4. [4] G. S. Kazandzidis, Congruences on the binomial coefficients, Bull. Soc. Math. Grèce (N.S.) 9 (1968), 1-12. 
  5. [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. [6] D. Singmaster, Notes on binomial coefficients I - a generalization of Lucas' congruence, J. London Math. Soc. (2) 8 (1974), 545-548. Zbl0293.05005
  7. [7] W. A. Webb, The number of binomial coefficients in residue classes modulo p and p 2 , Colloq. Math. 60/61 (1990), 275-280. Zbl0734.11018

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