Rational Hypergeometric Ramanujan Identities for 1/πc: Survey and Generalizations

Abstract

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

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