Об алгебре и арифметике биномиальных и гауссовых коэффициентов

DOI10.22405/2226-8383-2018-19-3-257-269zbMath1434.11017OpenAlexW2990881879MaRDI QIDQ5109696

U. M. Pachev

Publication date: 13 May 2020

Published in: Чебышевский сборник (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb693

zbMATH Keywords

central binomial coefficientsWolstenholme's theoremGaussian coefficientcongruences modulodivisibility by prime numberprimitive roots for this modulesum of Gaussian coefficients

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Finite nilpotent groups, (p)-groups (20D15) Primes (11A41)

Cites Work

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• Wolstenholme's theorem for binomial coefficients
• Foundations of enumeration theory for finite nilpotent groups
• Gaussian binomial coefficients
• Insolvability of
• On Some Divisibility Properties of