A binomial sum related to Wolstenholme's theorem

DOI10.1016/j.jnt.2009.05.010zbMath1241.11016OpenAlexW2015497605MaRDI QIDQ841247

Marc Chamberland, Karl Dilcher

Publication date: 15 September 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.05.010

zbMATH Keywords

congruencesbinomial sumsbinomial coefficientsWolstenholme's theoremWilf-Zeilberger method

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65)

Related Items

Binomial coefficients, roots of unity and powers of prime numbers ⋮ Asymptotics of a family of binomial sums ⋮ Supercongruences for sporadic sequences

Uses Software

• Maple

Cites Work

• A binomial coefficient congruence modulo prime powers
• Pascal's triangle (mod 8)
• Divisibility properties of a class of binomial sums
• On Wolstenholme's theorem and its converse
• Understanding Maple
• A Generalization of a Congruential Property of Lucas
• On the converse of Wolstenholme's Theorem
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