Congruences for Domb and Almkvist-Zudilin numbers
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Publication:5262279
DOI10.1080/10652469.2015.1034122zbMath1360.11008arXiv1302.1715OpenAlexW2034200863WikidataQ60692381 ScholiaQ60692381MaRDI QIDQ5262279
Publication date: 13 July 2015
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.1715
Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Congruences; primitive roots; residue systems (11A07)
Related Items
Super congruences for two Apéry-like sequences, Proof of some conjectural congruences involving Domb numbers and binary quadratic forms, Supercongruences involving Domb numbers and binary quadratic forms, Congruences for sums involving Franel numbers, Identities and congruences for Catalan–Larcombe–French numbers, Supercongruences for sums involving Domb numbers, On two congruence conjectures, On some congruences involving Domb numbers and harmonic numbers, Supercongruences and binary quadratic forms, Ramanujan-type supercongruences involving Almkvist-Zudilin numbers
Cites Work
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- The Apéry numbers, the Almkvist-Zudilin numbers and new series for \(1/\pi\)
- New \(_{5}F_{4}\) hypergeometric transformations, three-variable Mahler measures, and formulas for \(1/ \pi \)
- Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
- Congruences involving \({2k\choose k}^2{3k\choose k}\)
- Congruences concerning Legendre polynomials. II
- A telescoping method for double summations
- Congruences concerning Legendre polynomials
- NEW REPRESENTATIONS FOR APÉRY‐LIKE SEQUENCES
- On sums involving products of three binomial coefficients
- Supercongruences for truncated _{𝑛+1}𝐹_{𝑛} hypergeometric series with applications to certain weight three newforms
- Legendre polynomials and supercongruences
