Rational Hypergeometric Ramanujan Identities for $1/\pi^c$: Survey and Generalizations - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2021

Rational Hypergeometric Ramanujan Identities for $1/\pi^c$: Survey and Generalizations

Résumé

We give a simple unified proof for all existing rational hypergeometric Ramanujan identities for $1/\pi$, and give a complete survey (without proof) of several generalizations: rational hypergeometric identities for $1/\pi^c$, Taylor expansions, upside-down formulas, and supercongruences.

Dates et versions

hal-03139250 , version 1 (11-02-2021)

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Henri Cohen, Jesús Guillera. Rational Hypergeometric Ramanujan Identities for $1/\pi^c$: Survey and Generalizations. 2021. ⟨hal-03139250⟩
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