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16 April 2024

» arxiv » math.NT/0303332

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Bernoulli Numbers, Wolstenholme's Theorem, and p^5 Variations of Lucas' Theorem
Jianqiang Zhao ;
Date:	26 Mar 2003
Subject:	Number Theory MSC-class: 11A07; 11Y40 \| math.NT
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.
Source:	arXiv, math.NT/0303332
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