Another family of \(q\)-congruences modulo the square of a cyclotomic polynomial
From MaRDI portal
Publication:2038862
DOI10.1007/s00025-021-01423-4zbMath1470.11034OpenAlexW3158649585MaRDI QIDQ2038862
Publication date: 7 July 2021
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-021-01423-4
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)
Related Items (3)
Some \(q\)-analogues of supercongruences for truncated \({}_3 F_2\) hypergeometric series ⋮ A new \(q\)-extension of the (H.2) congruence of Van Hamme for primes \(p\equiv 1\pmod{4}\) ⋮ Two \(q\)-congruences involving double basic hypergeometric sums
Cites Work
- Unnamed Item
- Unnamed Item
- On the supercongruence conjectures of van Hamme
- On sums of Apéry polynomials and related congruences
- Generalized Legendre polynomials and related supercongruences
- A family of \(q\)-congruences modulo the square of a cyclotomic polynomial
- On a congruence involving \(q\)-Catalan numbers
- Some supercongruences occurring in truncated hypergeometric series
- On Van Hamme's (A.2) and (H.2) supercongruences
- A \(q\)-microscope for supercongruences
- Proof of a \(q\)-supercongruence conjectured by Guo and Schlosser
- A further \(q\)-analogue of Van Hamme's (H.2) supercongruence for any prime \(p\equiv 1\pmod{4}\)
- Some \(q\)-supercongruences from Watson's \(_8\phi_7\) transformation formula
- A common \(q\)-analogue of two supercongruences
- Proof of some \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
- 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
- Dwork-type supercongruences through a creative \(q\)-microscope
- Proof of a generalization of the (C.2) supercongruence of Van Hamme
- Congruences for \(q\)-binomial coefficients
- Congruences on sums of \(q\)-binomial coefficients
- Some symmetric \(q\)-congruences modulo the square of a cyclotomic polynomial
- On a \(q\)-deformation of modular forms
- Some q-supercongruences for truncated basic hypergeometric series
- Some q-supercongruences for truncated forms of squares of basic hypergeometric series
- Some variations of a ‘divergent’ Ramanujan-type q-supercongruence
- Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial
- Some supercongruences on truncated hypergeometric series
- A -ANALOGUE OF A DWORK-TYPE SUPERCONGRUENCE
This page was built for publication: Another family of \(q\)-congruences modulo the square of a cyclotomic polynomial
