249 citations · 979 across the 80 of their papers we have counts for
86 papers
Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher
Victor J. W. Guo, Chen Wang
In 1997, Van Hamme proposed 13 supercongruences on truncated hypergeometric series. Van Hamme's (B.2) supercongruence was first confirmed by Mortenson and received a WZ proof by Zu…
Further -supercongruences from a transformation of Rahman
Victor J. W. Guo
Employing a quadratic transformation formula of Rahman and the method of `creative microscoping' (introduced by the author and Zudilin in 2019), we provide some new -supercongru…
-Supercongruences from squares of basic hypergeometric series
Victor J. W. Guo, Long Li
We give some new -supercongruences on truncated forms of squares of basic hypergeometric series. Most of them are modulo the cube of a cyclotomic polynomial, and two of them are…
Factors of certain sums involving central q-binomial coefficients
Victor J. W. Guo, Su-Dan Wang
Recently, Ni and Pan proved a -congruence on certain sums involving central -binomial coefficients, which was conjectured by Guo. In this paper, we give a generalization of t…
Some -supercongruences modulo the square and cube of a cyclotomic polynomial
Victor J. W. Guo, Michael J. Schlosser
Two -supercongruences of truncated basic hypergeometric series containing two free parameters are established by employing specific identities for basic hypergeometric series. T…
An extension of a supercongruence of Long and Ramakrishna
Victor J. W. Guo, Ji-Cai Liu, Michael J. Schlosser
We prove two supercongruences for specific truncated hypergeometric series. These include an uniparametric extension of a supercongruence that was recently established by Long and…