"Divergent" Ramanujan-type supercongruences

Abstract

"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.

14 pages

Cited by in corpus (5)

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• Supercongruences for sporadic sequences
• Proof of Sun's conjectures on super congruences and the divisibility of certain binomial sums
• Proof of some supercongruences via the Wilf-Zeilberger method