A new extension of a “divergent” Ramanujan-type supercongruence
From MaRDI portal
Publication:6192998
DOI10.1080/10236198.2023.2270536OpenAlexW4387706642MaRDI QIDQ6192998
Xiao Yu, Jian Cao, Victor J. W. Guo
Publication date: 12 March 2024
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2023.2270536
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)
Cites Work
- Unnamed Item
- Unnamed Item
- On some congruences of certain binomial sums
- \(q\)-analogues of two ``divergent Ramanujan-type supercongruences
- On supercongruences for truncated sums of squares of basic hypergeometric series
- Ramanujan-type supercongruences
- A \(q\)-microscope for supercongruences
- Super congruences and Euler numbers
- Some \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
- \(q\)-supercongruences from transformation formulas
- A \(q\)-supercongruence from a \(q\)-analogue of Whipple's \({}_3F_2\) summation formula
- \(q\)-supercongruences on triple and quadruple sums
- On the divisibility of sums of even powers of \(q\)-binomial coefficients
- A new extension of the (A.2) supercongruence of Van Hamme
- Congruences for \(q\)-binomial coefficients
- Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series
- WZ-Proofs of “Divergent” Ramanujan-Type Series
- “Divergent” Ramanujan-type supercongruences
- Some Quadratic and Cubic Summation Formulas for Basic Hypergeometric Series
- Some congruences that extend Van Hamme's (D.2) supercongruence
This page was built for publication: A new extension of a “divergent” Ramanujan-type supercongruence
