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

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 $1/π^c$, Taylor expansions, upside-down formulas, and supercongruences.

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