Some \(q\)-supercongruences for double and triple basic hypergeometric series

DOI10.1090/PROC/16623MaRDI QIDQ6498385

Chuanan Wei, Chun Li

Publication date: 7 May 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

creative microscoping method\(q\)-supercongruencesChinese remainder theorem for coprime polynomials

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Cites Work

• Unnamed Item
• A \(p\)-adic supercongruence for truncated hypergeometric series \({}_7F_6\)
• On supercongruences for truncated sums of squares of basic hypergeometric series
• Some supercongruences occurring in truncated hypergeometric series
• A \(q\)-microscope for supercongruences
• A \(q\)-supercongruence from a \(q\)-analogue of Whipple's \({}_3F_2\) summation formula
• \(q\)-supercongruences on triple and quadruple sums
• On the divisibility of sums of even powers of \(q\)-binomial coefficients
• A family of \(q\)-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial
• Dwork-type supercongruences through a creative \(q\)-microscope
• Two \(q\)-supercongruences from Watson's transformation
• Congruences on sums of \(q\)-binomial coefficients
• Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series
• \(q\)-supercongruences from gasper and Rahman's summation formula
• Proofs of Guo and Schlosser's two conjectures
• \(q\)-supercongruences from squares of basic hypergeometric series
• Some q-supercongruences for truncated forms of squares of basic hypergeometric series
• 𝑁-tuple sum analogues for Ramanujan-type congruences
• Supercongruences and truncated hypergeometric series
• Some congruences that extend Van Hamme's (D.2) supercongruence

This page was built for publication: Some \(q\)-supercongruences for double and triple basic hypergeometric series