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- Title
q-Supercongruences on Triple and Quadruple Sums.
- Authors
Wang, Xiaoxia; Xu, Chang
- Abstract
Inspired by the recent work of El Bachraoui, we present some new q-supercongruences on triple and quadruple sums of basic hypergeometric series. In particular, we give a q-supercongruence modulo the fifth power of a cyclotomic polynomial, which is a q-analogue of the quadruple sum of Van Hamme's supercongruence (G.2).
- Subjects
QUADRUPOLES; CYCLOTOMIC fields; ALGEBRAIC field theory; POLYNOMIALS; ALGEBRA
- Publication
Results in Mathematics / Resultate der Mathematik, 2023, Vol 78, Issue 1, p1
- ISSN
1422-6383
- Publication type
Article
- DOI
10.1007/s00025-022-01801-6