HYPERGEOMETRIC MODULAR EQUATIONS

DOI10.1017/S144678871800037XzbMath1428.33014arXiv1609.07276OpenAlexW2524537036MaRDI QIDQ4972094

Wadim Zudilin, Shaun Cooper

Publication date: 22 November 2019

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07276

zbMATH Keywords

Ramanujan-type formulahypergeometric modular equations

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Holomorphic modular forms of integral weight (11F11) Generalized hypergeometric series, ({}_pF_q) (33C20) Evaluation of number-theoretic constants (11Y60)

Related Items (1)

A method for proving Ramanujan's series for \(1/\pi\)

Cites Work

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• Eisenstein series and Ramanujan-type series for \(1 / \pi\)
• New analogues of Clausen's identities arising from the theory of modular forms
• On Ramanujan's function \(k(q)=r(q)r^{2}(q^{2})\)
• New \(_{5}F_{4}\) hypergeometric transformations, three-variable Mahler measures, and formulas for \(1/ \pi \)
• Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
• Lost in Translation
• Ramanujan-type formulae for $1/\pi$: the art of translation
• Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations
• Rational analogues of Ramanujan's series for 1/π
• Algebraic Transformations of Gauss Hypergeometric Functions
• THE LEVEL 12 ANALOGUE OF RAMANUJAN’S FUNCTION
• Inversion formulas for elliptic functions
• NEW REPRESENTATIONS FOR APÉRY‐LIKE SEQUENCES
• Algebraic hypergeometric transformations of modular origin
• Ramanujan-type formulae for $1/\pi$: A second wind?
• Ramanujan's Theories of Elliptic Functions to Alternative Bases
• Crouching AGM, Hidden Modularity
• New proofs of Borwein-type algorithms for Pi

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