Asymptotic results of the remainder in a Ramanujan series for \(1/\pi \)

DOI10.1016/j.exmath.2022.09.003zbMath1504.11134OpenAlexW4308210946MaRDI QIDQ2105649

Xue-Feng Han, Chao-Ping Chen

Publication date: 8 December 2022

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2022.09.003

zbMATH Keywords

asymptotic expansioninequalityconstant \(\pi\)

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Evaluation of number-theoretic constants (11Y60)

Cites Work

• Error estimates of Ramanujan-type series
• Eisenstein series and Ramanujan-type series for \(1 / \pi\)
• A method for proving Ramanujan's series for \(1/\pi\)
• Ramanujan's series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions
• Ramanujan's Series for 1/π: A Survey
• RAMANUJAN'S CLASS INVARIANT λ_n AND A NEW CLASS OF SERIES FOR 1/π
• Ramanujan-type formulae for $1/\pi$: A second wind?
• Ramanujan's Theories of Elliptic Functions to Alternative Bases
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