Généralisation des congruences de Wolstenholme et de Morley

Farid Bencherif, Rachid Boumahdi

In this paper, we prove that for any odd prime $p$ and for any $p$-integer $\alpha$,we have $ \binom{αp-1}{p-1}\equiv 1-α(α-1)(α^{2}-α-1)p\sum_{k=1}^{p-1}\frac{1}{k}+α^{2} (α-1)^{2}p^{2…