English

Ramanujan-type supercongruences

Number Theory 2010-01-13 v3 Classical Analysis and ODEs

Abstract

We present several supercongruences that may be viewed as pp-adic analogues of Ramanujan-type series for 1/π1/\pi and 1/π21/\pi^2, and prove three of these examples.

Keywords

Cite

@article{arxiv.0805.2788,
  title  = {Ramanujan-type supercongruences},
  author = {Wadim Zudilin},
  journal= {arXiv preprint arXiv:0805.2788},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-06-21T10:41:57.030Z