A general family of congruences for Bernoulli numbers
arXiv:1706.06618 · doi:10.1142/S1793042118501129
Abstract
We prove a general family of congruences for Bernoulli numbers whose index is a polynomial function of a prime, modulo a power of that prime. Our family generalizes many known results, including the von Staudt--Clausen theorem and Kummer's congruence.
arXiv comment8 pages, comments welcome