Some \(q\)-supercongruences from the Bailey transformation
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Publication:2678434
DOI10.1007/s10998-021-00437-3OpenAlexW4205459935MaRDI QIDQ2678434
Publication date: 23 January 2023
Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10998-021-00437-3
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)
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Cites Work
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- A \(p\)-adic supercongruence for truncated hypergeometric series \({}_7F_6\)
- On a congruence involving \(q\)-Catalan numbers
- Ramanujan's ``lost notebook. IV: Stacks and alternating parity in partitions
- Two \(q\)-congruences from Carlitz's formula
- Ramanujan-type supercongruences
- A \(q\)-analogue of a Ramanujan-type supercongruence involving central binomial coefficients
- A \(q\)-microscope for supercongruences
- Congruences concerning Legendre polynomials. II
- Proof of a \(q\)-supercongruence conjectured by Guo and Schlosser
- Some \(q\)-supercongruences from Watson's \(_8\phi_7\) transformation formula
- A common \(q\)-analogue of two supercongruences
- A new family of \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
- Dwork-type supercongruences through a creative \(q\)-microscope
- Congruences for \(q\)-binomial coefficients
- Congruences on sums of \(q\)-binomial coefficients
- 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 from transformation formulas for basic hypergeometric series
- On the $q$-partial differential equations and $q$-series
- Congruences concerning Legendre polynomials
- A q-analogue of the (A.2) supercongruence of Van Hamme for any prime p ≡ 3(mod4)
- Some congruences on truncated hypergeometric series
- A $p$-adic supercongruence conjecture of van Hamme
- Supercongruences for polynomial analogs of the Apéry numbers
- q-Analogues of two Ramanujan-type formulas for 1/π
- Some variations of a ‘divergent’ Ramanujan-type q-supercongruence
- A further q-analogue of Van Hamme’s (H.2) supercongruence for primes p ≡ 3(mod4)
- q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon
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