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arXiv · 2003.10206

On two congruences involving Ap\'ery and Franel numbers

Guo-Shuai Mao
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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}.

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Guo-Shuai Mao. 2020-03-16. On two congruences involving Ap\'ery and Franel numbers. https://doi.org/10.1007/s00025-020-01291-4

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