A GENERALISATION OF A SUPERCONGRUENCE ON THE TRUNCATED APPELL SERIES
From MaRDI portal
Publication:6134297
DOI10.1017/s0004972722000612zbMath1530.11005OpenAlexW4285087097MaRDI QIDQ6134297
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/s0004972722000612
\(q\)-congruencegeneralized hypergeometric functionsChu-Vandermonde identitycyclotomic polynomialsupercongruencetruncated Appell series
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07) Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)
Related Items
Some congruences that extend Van Hamme's (D.2) supercongruence ⋮ Some new \(q\)-supercongruences involving one free parameter
Cites Work
- Unnamed Item
- Unnamed Item
- A \(q\)-microscope for supercongruences
- Proof of a \(q\)-supercongruence conjectured by Guo and Schlosser
- \(q\)-analogues of two Ramanujan-type supercongruences
- Some \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
- A further \(q\)-analogue of Van Hamme's (H.2) supercongruence for any prime \(p\equiv 1\pmod{4}\)
- Some \(q\)-supercongruences from a quadratic transformation by Rahman
- Proof of two conjectures of Guo and Schlosser
- Dwork-type supercongruences through a creative \(q\)-microscope
- Congruences on sums of \(q\)-binomial coefficients
- Some symmetric \(q\)-congruences modulo the square of a cyclotomic polynomial
- 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
- A FAMILY OF -SUPERCONGRUENCES MODULO THE CUBE OF A CYCLOTOMIC POLYNOMIAL
- Congruences for the truncated Appell series F3 and F4
- Supercongruences for truncated Appell series
