Proof of two conjectures of Guo and of Tang

DOI10.1016/J.JMAA.2024.128712MaRDI QIDQ6616002

Guoping Gu, Xiaoxia Wang

Publication date: 8 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

\(q\)-congruencecyclotomic polynomial\(q\)-supercongruenceGasper and Rahman's quadratic summationRahman's quadratic transformation

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83)

Cites Work

• Title not available (Why is that?)
• Hypergeometric evaluation identities and supercongruences
• A \(p\)-adic supercongruence for truncated hypergeometric series \({}_7F_6\)
• Some supercongruences occurring in truncated hypergeometric series
• A \(q\)-microscope for supercongruences
• Some \(q\)-supercongruences from a quadratic transformation by Rahman
• Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series
• Further \(q\)-supercongruences from a transformation of Rahman
• \(q\)-supercongruences from gasper and Rahman's summation formula
• Strange Evaluations of Hypergeometric Series
• Supercongruences and truncated hypergeometric series
• Three families of \(q\)-supercongruences from a quadratic transformation of Rahman
• Some congruences that extend Van Hamme's (D.2) supercongruence
• \(q\)-supercongruences from Jackson's \({}_8 \phi_7\) summation and Watson's \({}_8 \phi_7\) transformation
• Two curious \(q\)-supercongruences and their extensions

Related Items (1)

Divisibility of certain sums involving central \(q\)-binomial coefficients

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