A family of \(q\)-congruences modulo the square of a cyclotomic polynomial
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Publication:779920
DOI10.3934/era.2020055zbMath1461.11004arXiv2001.08079OpenAlexW3035975492MaRDI QIDQ779920
Publication date: 14 July 2020
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.08079
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)
Related Items (4)
Some q-supercongruences related to Swisher’s (H.3) conjecture ⋮ A new \(q\)-extension of the (H.2) congruence of Van Hamme for primes \(p\equiv 1\pmod{4}\) ⋮ Another family of \(q\)-congruences modulo the square of a cyclotomic polynomial ⋮ A new extension of the (H.2) supercongruence of Van Hamme for primes \(p\equiv 3\operatorname{mod}{4}\)
Cites Work
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- On the supercongruence conjectures of van Hamme
- On sums of Apéry polynomials and related congruences
- Generalized Legendre polynomials and related supercongruences
- Some supercongruences occurring in truncated hypergeometric series
- On Van Hamme's (A.2) and (H.2) supercongruences
- A \(q\)-microscope for supercongruences
- A common \(q\)-analogue of two supercongruences
- Proof of a generalization of the (B.2) supercongruence of Van Hamme through a \(q\)-microscope
- Some new \(q\)-congruences for truncated basic hypergeometric series: even powers
- \(q\)-analogues of Dwork-type supercongruences
- Common \(q\)-analogues of some different supercongruences
- 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
- q-Analogues of two Ramanujan-type formulas for 1/π
- Some supercongruences on truncated hypergeometric series
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