Analogues of the binomial coefficient theorems of Gauss and Jacobi

DOI10.1142/S179304211650127XzbMath1423.11041OpenAlexW2239901248MaRDI QIDQ2833085

Karl Dilcher, Abdullah al-Shaghay

Publication date: 16 November 2016

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

Full work available at URL: https://doi.org/10.1142/s179304211650127x

zbMATH Keywords

congruencesbinomial coefficientsCatalan numbersJacobi sums\(p\)-adic gamma functionfactorials

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (1)

$p$-adic $L$-functions and classical congruences

Cites Work

• On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson
• THE MULTIPLICATIVE ORDERS OF CERTAIN GAUSS FACTORIALS
• ON CONGRUENCES FOR CERTAIN BINOMIAL COEFFICIENTS OF E. LEHMER'S TYPE
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