The Apéry numbers, the Almkvist-Zudilin numbers and new series for \(1/\pi\)
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Publication:843055
DOI10.4310/MRL.2009.v16.n3.a3zbMath1193.11038OpenAlexW1985545192MaRDI QIDQ843055
Heng Huat Chan, Helena A. Verrill
Publication date: 29 September 2009
Published in: Mathematical Research Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/mrl.2009.v16.n3.a3
Factorials, binomial coefficients, combinatorial functions (05A10) Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Evaluation of number-theoretic constants (11Y60)
Related Items (16)
Rational analogues of Ramanujan's series for 1/π ⋮ Ramanujan-type identities for Shimura curves ⋮ CONGRUENCES SATISFIED BY APÉRY-LIKE NUMBERS ⋮ On Chudnovsky-Ramanujan type formulae ⋮ Sporadic sequences, modular forms and new series for \(1/\pi\) ⋮ Eisenstein series and Ramanujan-type series for \(1 / \pi\) ⋮ Congruences for sums involving Franel numbers ⋮ New analogues of Clausen's identities arising from the theory of modular forms ⋮ On Ramanujan's function \(k(q)=r(q)r^{2}(q^{2})\) ⋮ Congruences via modular forms ⋮ A summation formula and Ramanujan type series ⋮ NEW REPRESENTATIONS FOR APÉRY‐LIKE SEQUENCES ⋮ Ramanujan's Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\) ⋮ Ramanujan-type \(1/\pi\)-series from bimodular forms ⋮ Congruences for Domb and Almkvist-Zudilin numbers ⋮ Ramanujan-type supercongruences involving Almkvist-Zudilin numbers
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