Ramanujan-type series for \(\frac{1}{\pi}\), revisited

DOI10.4153/S0008439523000772MaRDI QIDQ6634707

Dongxi Ye

Publication date: 8 November 2024

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

orbifold uniformizations\(\frac{1}{\pi}\)Clausen-type transformations

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Relations with algebraic geometry and topology (11F23)

Cites Work

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• New analogues of Clausen's identities arising from the theory of modular forms
• Modular equations and approximations to \(\pi\).
• Elliptic integrals and Ramanujan-type series for \(1/\pi\) associated with \({\Gamma}_{0}(N)\), where \(N\) is a product of two small primes
• Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
• Ramanujan's Theta Functions
• Ramanujan's Series for 1/π: A Survey
• Rational analogues of Ramanujan's series for 1/π
• Algebraic Relations Among Solutions of Linear Differential Equations: Fano's Theorem
• Modular Forms

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