Further $q$-supercongruences from a transformation of Rahman
Number Theory
2022-01-19 v1 Combinatorics
Abstract
Employing a quadratic transformation formula of Rahman and the method of `creative microscoping' (introduced by the author and Zudilin in 2019), we provide some new -supercongruences for truncated basic hypergeometric series. In particular, we confirm two recent conjectures of Liu and Wang. We also propose some related conjectures on supercongruences and -supercongruences.
Keywords
Cite
@article{arxiv.2201.06942,
title = {Further $q$-supercongruences from a transformation of Rahman},
author = {Victor J. W. Guo},
journal= {arXiv preprint arXiv:2201.06942},
year = {2022}
}
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11 pages