Bernoulli Numbers, Wolstenholme's Theorem, and p^5 Variations of Lucas' Theorem
Number Theory
2009-07-02 v3
Abstract
In this note we shall improve some congruences of D.F. Bailey [Two p^3 variations of Lucas' Theorem, JNT 35(1990), pp. 208-215] to higher prime power moduli, by studying the relation between irregular pairs of the form (p,p-3) and refined version of Wolstenholme's theorem.
Keywords
Cite
@article{arxiv.math/0303332,
title = {Bernoulli Numbers, Wolstenholme's Theorem, and p^5 Variations of Lucas' Theorem},
author = {Jianqiang Zhao},
journal= {arXiv preprint arXiv:math/0303332},
year = {2009}
}
Comments
7 pages. Final version accepted by J. of Number Theory