A qq-Analogue of a Supercongruence Related to Van Hamme's (B.2) Supercongruence

preprint2026arXivOpen access

Abstract

Motivated by the recent work of Li and Wang on parametric generalizations of Van Hamme's (C.2)(C.2) supercongruence in the qq-setting, we establish qq-analogues of a supercongruence related to Van Hamme's (B.2)(B.2) supercongruence, recently obtained by the authors. In particular, we derive parametric extensions of these qq-supercongruences by constructing suitable pairs of hypergeometric functions through the qq-WZ method.

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