Ramanujan-type supercongruences

Details Ramanujan-type supercongruences Ramanujan-type supercongruences

2008-05-19

arxiv.org/abs/0805.2788v3

J. Number Theory 129 (2009), no. 8, 1848--1857

Mathematics

Number Theory

10 pages

Scientific paper

10.1016/j.jnt.2009.01.013

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

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