Proof of Chudnovskys' hypergeometric series for \(1/\pi\) using Weber modular polynomials

DOI10.1007/978-3-030-84304-5_14zbMath1502.33010OpenAlexW3209391737MaRDI QIDQ2097082

Jesús Guillera

Publication date: 11 November 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-84304-5_14

zbMATH Keywords

hypergeometric seriesmodular equationsMaple programelliptic modular functionsChudnovskys' series for \(1/\pi\)Ramanujan-type series for \(1/\pi\)Weber modular polynomials

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05)

Related Items (1)

Chudnovsky-Ramanujan type formulae for non-compact arithmetic triangle groups

Cites Work

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• An efficient determination of the coefficients in the Chudnovskys' series for \(1/ \pi \)
• A method for proving Ramanujan's series for \(1/\pi\)
• Fast computation of special resultants
• Ramanujan's Theta Functions
• RAMANUJAN'S CLASS INVARIANT λ_n AND A NEW CLASS OF SERIES FOR 1/π
• On Russell-Type Modular Equations
• Proof of a rational Ramanujan-type series for 1/π. The fastest one in level 3

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