Ramanujan-type supercongruences involving Almkvist-Zudilin numbers
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Publication:2114965
DOI10.1007/s00025-022-01607-6zbMath1497.11012OpenAlexW4210610943MaRDI QIDQ2114965
Publication date: 15 March 2022
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-022-01607-6
Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Calculation of integer sequences (11Y55)
Uses Software
Cites Work
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- Congruences involving \(g_n(x)=\sum\limits_{k=0}^n\dbinom{n}{k}^2\dbinom{2k}{k}x^k\)
- The Apéry numbers, the Almkvist-Zudilin numbers and new series for \(1/\pi\)
- Ramanujan-type supercongruences
- A \(q\)-microscope for supercongruences
- Semi-automated proof of supercongruences on partial sums of hypergeometric series
- Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
- Legendre polynomials and Ramanujan-type series for \(1/\pi\)
- New series for powers of \(\pi\) and related congruences
- Proof of a generalization of the (B.2) supercongruence of Van Hamme through a \(q\)-microscope
- Some supercongruences arising from symbolic summation
- Symbolic summation assists combinatorics
- Supercongruences for a truncated hypergeometric series
- Supercongruences for the Almkvist–Zudilin numbers
- NEW REPRESENTATIONS FOR APÉRY‐LIKE SEQUENCES
- q-Analogues of two Ramanujan-type formulas for 1/π
- Supercongruences between truncated $_{2}F_{1}$ hypergeometric functions and their Gaussian analogs
- Some congruences related to a congruence of Van Hamme
- Congruences for Domb and Almkvist-Zudilin numbers
- CONGRUENCES SATISFIED BY APÉRY-LIKE NUMBERS
- Human proofs of identities by Osburn and Schneider
- Supercongruences for the Catalan-Larcombe-French numbers
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