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arXiv:1802.01260 [math.NT]AbstractReferencesReviewsResources

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

Victor J. W. Guo

Published 2018-02-05Version 1

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.

Comments: 18 pages
Categories: math.NT, math.CO
Subjects: 11B65, 05A10, 05A30
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