On supercongruences for truncated sums of squares of basic hypergeometric series
Number Theory
2019-11-26 v1
Abstract
Congruences of truncated sums of infinite series do not directly extend to congruences of the truncated sums of higher powers of these infinite series. Guo and Zudilin recently established a variety of supercongruences for truncated sums of certain basic hypergeometric series. In this note we extend some of these supercongruences to the truncated sums of the squares of the corresponding series.
Keywords
Cite
@article{arxiv.1911.10491,
title = {On supercongruences for truncated sums of squares of basic hypergeometric series},
author = {Mohamed El Bachraoui},
journal= {arXiv preprint arXiv:1911.10491},
year = {2019}
}
Comments
9 pages, Accepted in Ramanujan Journal