CONGRUENCES SATISFIED BY APÉRY-LIKE NUMBERS
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Publication:5306068
DOI10.1142/S1793042110002879zbMath1303.11009OpenAlexW2031023764MaRDI QIDQ5306068
Heng Huat Chan, Shaun Cooper, Francesco Sica
Publication date: 29 March 2010
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793042110002879
Modular and automorphic functions (11F03) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83)
Related Items (28)
Divisibility properties of sporadic Apéry-like numbers ⋮ Supercongruences and truncated hypergeometric series ⋮ Supercongruences for the Almkvist–Zudilin numbers ⋮ THE LEVEL 12 ANALOGUE OF RAMANUJAN’S FUNCTION ⋮ Some conjectural supercongruences related to Bernoulli and Euler numbers ⋮ Super congruences for two Apéry-like sequences ⋮ A generalized supercongruence of Kimoto and Wakayama ⋮ Sporadic sequences, modular forms and new series for \(1/\pi\) ⋮ New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences ⋮ Congruences Involving Hecke-Rogers Type Series and Modular Forms ⋮ Gessel-Lucas congruences for sporadic sequences ⋮ A supercongruence for generalized Domb numbers ⋮ Some supercongruences occurring in truncated hypergeometric series ⋮ New analogues of Clausen's identities arising from the theory of modular forms ⋮ CONGRUENCES FOR THE TH APÉRY NUMBER ⋮ Supercongruences for polynomial analogs of the Apéry numbers ⋮ Two triple binomial sum supercongruences ⋮ Congruences for generalized Apéry numbers and Gaussian hypergeometric series ⋮ Supercongruences for Apéry-like numbers ⋮ Congruences via modular forms ⋮ Supercongruences arising from basic hypergeometric series ⋮ Supercongruences for truncated hypergeometric series and p-adic gamma function ⋮ Sequences, modular forms and cellular integrals ⋮ Apéry-like numbers and families of newforms with complex multiplication ⋮ Some supercongruences on truncated hypergeometric series ⋮ CONGRUENCES AMONG POWER SERIES COEFFICIENTS OF MODULAR FORMS ⋮ On two supercongruences involving Almkvist-Zudilin sequences ⋮ Ramanujan-type supercongruences involving Almkvist-Zudilin numbers
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