Ramanujan–Sato-Like Series

DOI10.1007/978-1-4614-6642-0_2zbMath1290.33004arXiv1201.5233OpenAlexW1878513106MaRDI QIDQ2840791

Gert Almkvist, Jesús Guillera

Publication date: 23 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5233

zbMATH Keywords

Yukawa couplingCalabi-Yau differential equationsexamples of complex series for \(1/\pi\)examples of non-hypergeometric series for \(1/\pi^2\)Mirror mapRamanujan-Sato-like series

Mathematics Subject Classification ID

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

Related Items (2)

Unnamed Item ⋮ Ramanujan-type \(1/\pi\)-series from bimodular forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ramanujan-type supercongruences
• Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
• Complex series for \(1/\pi\)
• Quadratic transformations and Guillera's formulas for \(1/\pi^2\)
• “Divergent” Ramanujan-type supercongruences
• Mosaic Supercongruences of Ramanujan Type
• Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations
• A Matrix form of Ramanujan-type series for $1/\pi$
• On Sp_4 modularity of Picard--Fuchs differential equations for Calabi--Yau threefolds (with an appendix by Vicentiu Pasol)
• Ramanujan's Series for 1/π: A Survey
• Arithmetic hypergeometric series
• Ramanujan-like Series for 1/π²and String Theory

This page was built for publication: Ramanujan–Sato-Like Series