\(q\)-analogues of the (G.2) supercongruence of Van Hamme
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Publication:1983265
zbMath1469.11004MaRDI QIDQ1983265
Publication date: 10 September 2021
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)
Related Items (10)
𝑁-tuple sum analogues for Ramanujan-type congruences ⋮ Further \(q\)-supercongruences from a transformation of Rahman ⋮ Proofs of Guo and Schlosser's two conjectures ⋮ Some new results about 𝑞-trinomial coefficients ⋮ Three families of \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial ⋮ NEW GENERALISATIONS OF VAN HAMME’S (G.2) SUPERCONGRUENCE ⋮ Unnamed Item ⋮ Some \(q\)-supercongruences from a quadratic transformation by Rahman ⋮ Further \(q\)-analogues of the (G.2) supercongruence of Van Hamme ⋮ \(q\)-supercongruences on triple and quadruple sums
Cites Work
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- On the supercongruence conjectures of van Hamme
- Some supercongruences occurring in truncated hypergeometric series
- A \(q\)-analogue of the (L.2) supercongruence of van Hamme
- A \(q\)-analogue of the (J.2) supercongruence of van Hamme
- 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 from Watson's \(_8\phi_7\) transformation formula
- A \(q\)-analogue of the (A.2) supercongruence of Van Hamme for primes \(p\equiv 1\pmod{4} \)
- 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
- Some new \(q\)-congruences for truncated basic hypergeometric series: even powers
- \(q\)-analogues of Dwork-type supercongruences
- Common \(q\)-analogues of some different supercongruences
- \(q\)-analogues of the (E.2) and (F.2) supercongruences of van Hamme
- Some q-analogs of congruences for central binomial sums
- 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)
- A q-analogue of the (I.2) supercongruence of Van Hamme
- Some congruences involving fourth powers of central q-binomial coefficients
- A -ANALOGUE OF A DWORK-TYPE SUPERCONGRUENCE
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