A -SUPERCONGRUENCE MODULO THE THIRD POWER OF A CYCLOTOMIC POLYNOMIAL

DOI10.1017/S0004972722000636zbMath1498.11015MaRDI QIDQ5867860

Chuanan Wei

Publication date: 19 September 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

basic hypergeometric series\(q\)-supercongruence\(q\)-Dixon 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)

Cites Work

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• On sums of Apéry polynomials and related congruences
• Some supercongruences occurring in truncated hypergeometric series
• A \(q\)-microscope for supercongruences
• A further \(q\)-analogue of Van Hamme's (H.2) supercongruence for any prime \(p\equiv 1\pmod{4}\)
• A common \(q\)-analogue of two supercongruences
• A new \(q\)-extension of the (H.2) congruence of Van Hamme for primes \(p\equiv 1\pmod{4}\)
• Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions
• On the divisibility of some truncated hypergeometric series
• A further q-analogue of Van Hamme’s (H.2) supercongruence for primes p ≡ 3(mod4)

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