"Divergent" Ramanujan-type supercongruences

Details "Divergent" Ramanujan-type supercongruences "Divergent" Ramanujan-type supercongruences

2010-04-25

arxiv.org/abs/1004.4337v4

Proc. Amer. Math. Soc. 140:3 (2012) 765-777

Mathematics

Number Theory

14 pages

Scientific paper

10.1090/S0002-9939-2011-10950-X

"Divergent" Ramanujan-type series for $1/\pi$ and $1/\pi^2$ provide us with
new nice examples of supercongruences of the same kind as those related to the
convergent cases. In this paper we manage to prove three of the
supercongruences by means of the Wilf--Zeilberger algorithmic technique.

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