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q-Analogues of two "divergent" Ramanujan-type supercongruences

Published 5 Feb 2018 in math.NT and math.CO | (1802.01260v1)

Abstract: Guillera and Zudilin proved three "divergent" Ramanujan-type supercongruences by means of the Wilf-Zeilberger algorithmic technique. In this paper, we prove $q$-analogues of two of them via the $q$-WZ method. Additionally, we give $q$-analogues of two related congruence of Sun, one is confirmed and the other is conjectural.

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Authors (1)

  1. Victor J. W. Guo 

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