English

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

Number Theory 2021-02-01 v1

Abstract

We give a simple unified proof for all existing rational hypergeometric Ramanujan identities for 1/π1/\pi, and give a complete survey (without proof) of several generalizations: rational hypergeometric identities for 1/πc1/\pi^c, Taylor expansions, upside-down formulas, and supercongruences.

Keywords

Cite

@article{arxiv.2101.12592,
  title  = {Rational Hypergeometric Ramanujan Identities for $1/\pi^c$: Survey and Generalizations},
  author = {Henri Cohen and Jesús Guillera},
  journal= {arXiv preprint arXiv:2101.12592},
  year   = {2021}
}
R2 v1 2026-06-23T22:39:24.903Z