Mosaic Supercongruences of Ramanujan Type

DOI10.1080/10586458.2011.579012zbMath1247.11153arXiv1007.2290OpenAlexW2120460946MaRDI QIDQ2883924

Jesús Guillera

Publication date: 14 May 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2290

zbMATH Keywords

hypergeometric seriessupercongruencesRamanujan-Sato-type seriesRamanujan-type series for \(1/\pi \) and \(1/\pi^2\)

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Generalized hypergeometric series, ({}_pF_q) (33C20) Calculation of integer sequences (11Y55)

Related Items (5)

More hypergeometric identities related to Ramanujan-type series ⋮ Divisibility of some binomial sums ⋮ Ramanujan-like Series for 1/π²and String Theory ⋮ Supercongruences for sporadic sequences ⋮ Ramanujan–Sato-Like Series

Cites Work

• New analogues of Clausen's identities arising from the theory of modular forms
• Ramanujan-type supercongruences
• Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
• “Divergent” Ramanujan-type supercongruences
• Ramanujan's Series for 1/π: A Survey

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