A general family of congruences for Bernoulli numbers
Number Theory
2018-10-16 v2
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.
Keywords
Cite
@article{arxiv.1706.06618,
title = {A general family of congruences for Bernoulli numbers},
author = {Julian Rosen},
journal= {arXiv preprint arXiv:1706.06618},
year = {2018}
}
Comments
8 pages, comments welcome