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

Abstract : 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.
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-03139250
Contributor : Andreas Enge Connect in order to contact the contributor
Submitted on : Thursday, February 11, 2021 - 6:16:19 PM
Last modification on : Tuesday, October 19, 2021 - 11:06:00 PM

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  • HAL Id : hal-03139250, version 1
  • ARXIV : 2101.12592

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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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