Two \(q\)-congruences from Carlitz's formula

DOI10.1007/s10998-020-00341-2zbMath1499.11006OpenAlexW3016199648MaRDI QIDQ822633

Cheng-Yang Gu, Victor J. W. Guo

Publication date: 22 September 2021

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-020-00341-2

zbMATH Keywords

\(q\)-congruencecongruencecyclotomic polynomialCarlitz's formula

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)

Related Items

Some \(q\)-congruences arising from certain identities ⋮ Some generalizations of a congruence by Sun and Tauraso ⋮ Some \(q\)-supercongruences from the Bailey transformation ⋮ Some new \(q\)-supercongruences involving one free parameter ⋮ Proof of a generalization of the (C.2) supercongruence of Van Hamme ⋮ Curious \(q\)-analogues of two supercongruences modulo the third power of a prime ⋮ On some conjectural supercongruences for sums involving certain rising factorials ⋮ Some variations of a ‘divergent’ Ramanujan-type q-supercongruence

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