A $q$-congruence for a truncated $_4\varphi_3$ series
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Publication:5016083
DOI10.21136/CMJ.2021.0317-20OpenAlexW3176128139MaRDI QIDQ5016083
Publication date: 10 December 2021
Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21136/cmj.2021.0317-20
\(q\)-congruencebasic hypergeometric seriessupercongruenceWatson's transformationcreative microscoping
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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- On the supercongruence conjectures of van Hamme
- \(q\)-analogs of some congruences involving Catalan numbers
- On sums of Apéry polynomials and related congruences
- 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
- Some \(q\)-supercongruences from Watson's \(_8\phi_7\) transformation formula
- A common \(q\)-analogue of two supercongruences
- Dwork-type supercongruences through a creative \(q\)-microscope
- Congruences for \(q\)-binomial coefficients
- Congruences on sums of \(q\)-binomial coefficients
- On a \(q\)-deformation of modular forms
- Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series
- On a conjectured q-congruence of Guo and Zeng
- A q-analogue of the (A.2) supercongruence of Van Hamme for any prime p ≡ 3(mod4)
- On the divisibility of some truncated hypergeometric series
- Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial
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