NEW GENERALISATIONS OF VAN HAMME’S (G.2) SUPERCONGRUENCE

DOI10.1017/s000497272200048xOpenAlexW4280602566MaRDI QIDQ6134278

Na Tang

Publication date: 25 July 2023

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

Full work available at URL: https://doi.org/10.1017/s000497272200048x

zbMATH Keywords

basic hypergeometric seriescyclotomic polynomial\(q\)-supercongruencecreative microscoping methodJackson's \({}_6\phi _5\) summation

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)

Related Items (1)

Some congruences that extend Van Hamme's (D.2) supercongruence

Cites Work

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• On the supercongruence conjectures of van Hamme
• A \(q\)-microscope for supercongruences
• \(q\)-analogues of the (G.2) supercongruence of Van Hamme
• A new extension of the (A.2) supercongruence of Van Hamme
• A new family of \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
• A family of \(q\)-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial
• Supercongruences on truncated hypergeometric series

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