Some \(q\)-supercongruences from the Gasper and Rahman quadratic summation
DOI10.1007/s13163-022-00442-1MaRDI QIDQ6052384
Publication date: 21 September 2023
Published in: Revista Matemática Complutense (Search for Journal in Brave)
\(p\)-adic gamma functioncreative microscoping\(q\)-supercongruencesGasper and Rahman's quadratic summation
Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07) Special functions in characteristic (p) (gamma functions, etc.) (33E50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hypergeometric evaluation identities and supercongruences
- A \(p\)-adic supercongruence for truncated hypergeometric series \({}_7F_6\)
- On a congruence involving \(q\)-Catalan numbers
- Some supercongruences occurring in truncated hypergeometric series
- A \(q\)-microscope for supercongruences
- Proof of a \(q\)-supercongruence conjectured by Guo and Schlosser
- Some \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
- Some \(q\)-supercongruences from a quadratic transformation by Rahman
- On the divisibility of sums of even powers of \(q\)-binomial coefficients
- A new extension of the (A.2) supercongruence of Van Hamme
- Congruences on sums of \(q\)-binomial coefficients
- \(q\)-supercongruences from gasper and Rahman's summation formula
- Proofs of Guo and Schlosser's two conjectures
- Strange Evaluations of Hypergeometric Series
- A FAMILY OF -SUPERCONGRUENCES MODULO THE CUBE OF A CYCLOTOMIC POLYNOMIAL
- Supercongruences and truncated hypergeometric series
This page was built for publication: Some \(q\)-supercongruences from the Gasper and Rahman quadratic summation
