\(q\)-analogues of the (G.2) supercongruence of Van Hamme
type: Item
instance of: scholarly article
title: \(q\)-analogues of the (G.2) supercongruence of Van Hamme
zbMATH Open document ID: 1469.11004
author: Yudong Liu
author: Xiaoxia Wang
published in: Rocky Mountain Journal of Mathematics
publication date: 2021-09-10T00:00:00Z
Mathematics Subject Classification ID: 11A07
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 7393839
zbMATH Keywords: basic hypergeometric series
zbMATH Keywords: supercongruences
zbMATH Keywords: \(q\)-congruences
zbMATH Keywords: \(q\)-analogue
zbMATH Keywords: cyclotomic polynomial
MaRDI profile type: Publication
cites work: Q4855690
cites work: Q4828543
cites work: A \(q\)-analogue of the (J.2) supercongruence of van Hamme
cites work: A \(q\)-analogue of the (L.2) supercongruence of van Hamme
cites work: Common \(q\)-analogues of some different supercongruences
cites work: A q-analogue of the (I.2) supercongruence of Van Hamme
cites work: \(q\)-analogues of the (E.2) and (F.2) supercongruences of van Hamme
cites work: A \(q\)-analogue of the (A.2) supercongruence of Van Hamme for primes \(p\equiv 1\pmod{4} \)
cites work: \(q\)-analogues of Dwork-type supercongruences
cites work: A new family of \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
cites work: Some new \(q\)-congruences for truncated basic hypergeometric series: even powers
cites work: Some congruences involving fourth powers of central q-binomial coefficients
cites work: A \(q\)-microscope for supercongruences
cites work: Dwork-type supercongruences through a creative \(q\)-microscope
cites work: Q4357441
cites work: Proof of a \(q\)-supercongruence conjectured by Guo and Schlosser
cites work: Congruences on sums of \(q\)-binomial coefficients
cites work: \(q\)-analogues of two Ramanujan-type supercongruences
cites work: Some supercongruences occurring in truncated hypergeometric series
cites work: Q4065637
cites work: On a conjectured q-congruence of Guo and Zeng
cites work: On the supercongruence conjectures of van Hamme
cites work: Some \(q\)-analogs of congruences for central binomial sums
cites work: A q-analogue of the (A.2) supercongruence of Van Hamme for any prime p ≡ 3(mod4)
cites work: Some \(q\)-supercongruences from Watson's \(_8\phi_7\) transformation formula
cites work: A -ANALOGUE OF A DWORK-TYPE SUPERCONGRUENCE
cites work: Congruences for \(q\)-binomial coefficients
description: scientific article; zbMATH DE number 7393839