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Keyword: divergent series ×Clear all

1 claim from 1 paper

1. Mathematics › Advanced Mathematical Identities

   “Divergent” Ramanujan-type supercongruences

   Guillera and Zudilin · Proceedings of the American Mathematical Society · 2011

   The paper presents supercongruences arising from divergent Ramanujan-type series for 1/π and 1/π², and proves three of them using the Wilf–Zeilberger algorithmic technique.

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   1. Supported · 71%Divergent Ramanujan-type series for 1/π and 1/π² give new examples of supercongruences, like those tied to the convergent series.“"Divergent" Ramanujan-type series for $1/π$ and $1/π^2$ provide us with new nice examples of supercongruences of the same kind as those related to the convergent cases.”