G\'en\'eralisation des congruences de Wolstenholme et de Morley

arXiv1607.00700MaRDI QIDQ6275205

Farid Bencherif, Rachid Boumahdi

Publication date: 3 July 2016

Abstract: In this paper, we prove that for any odd prime $p$ and for any $p$-integer $alpha$,we have $$, where $m=7$ if $peq7$ and $m=6$ if $p=7$. this congruence generalizes the congruences of Wolstenholme, Morley, Glaisher, Carlitz, McIntosh, Tauraso and Mev{s}trovi'c. It allows one to rediscover the congruences of Glaisher, Carlitz and Zhao in a simple way

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68)

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