Some congruences related to the q-Fermat quotients

DOI10.1142/S1793042115500554zbMath1365.11017arXiv1312.6541OpenAlexW2107649270MaRDI QIDQ5248589

Victor J. W. Guo

Publication date: 8 May 2015

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

Full work available at URL: https://arxiv.org/abs/1312.6541

zbMATH Keywords

Fermat quotientsDilcher's identity\(q\)-Delannoy numbersGlaisher's congruence\(q\)-Fermat quotientsKohnen's congruence

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items

A \(q\)-Clausen-Orr type formula and its applications ⋮ Some \(q\)-congruences for homogeneous and quasi-homogeneous multiple \(q\)-harmonic sums ⋮ Some congruences involving fourth powers of central q-binomial coefficients

Cites Work

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