On two congruences involving Ap\'ery and Franel numbers
Number Theory
2021-11-18 v1 Combinatorics
Abstract
In this paper, we generalise a congruence which proved by V. J.-W. Guo and J. Zeng \cite{gz-jnt-2012} involving Ap\'{e}ry numbers, and we obtain a congruence involving Franel numbers which confirms a congruence conjecture of Z.-W. Sun \cite[Conjecture 57(ii)]{sun-njdx-2019}.
Cite
@article{arxiv.2003.10206,
title = {On two congruences involving Ap\'ery and Franel numbers},
author = {Guo-Shuai Mao},
journal= {arXiv preprint arXiv:2003.10206},
year = {2021}
}
Comments
11pages