An efficient determination of the coefficients in the Chudnovskys' series for \(1/ \pi \)

DOI10.1007/s11139-020-00330-6zbMath1489.11061OpenAlexW3128107390MaRDI QIDQ2075080

Lorenz Milla

Publication date: 11 February 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00330-6

zbMATH Keywords

Eisenstein seriesdivision valuesWeierstraß \(\wp\) functionnon-holomorphic modular functionsChudnovsky algorithm

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Quasi-analytic and other classes of functions of one complex variable (30D60)

Related Items (3)

Chudnovsky-Ramanujan type formulae for non-compact arithmetic triangle groups ⋮ Asymptotic expansions for the truncation error in Ramanujan-type series ⋮ Proof of Chudnovskys' hypergeometric series for \(1/\pi\) using Weber modular polynomials

Cites Work

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• Elliptic functions and transcendence
• On Chudnovsky-Ramanujan type formulae
• Eisenstein series and approximations to \(\pi\)

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