Bernoulli numbers, Wolstenholme's theorem, and p5 variations of Lucas' theorem

Bernoulli numbers, Wolstenholme's theorem, and p5 variations of Lucas' theorem
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DOI:
10.1016/j.jnt.2006.05.005
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发表时间:
2003-03
影响因子:
0.7
通讯作者:
Jianqiang Zhao
Jianqiang Zhao
中科院分区:
数学3区
文献类型:
--
作者:
Jianqiang Zhao

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本文将改进G.S. Kazandzaldam和D.F. Bailey通过研究形式为(p,p−3)的不规则对之间的关系和Wolstenholme定理的改进版本,将其推广到高阶素幂模。
In this note we shall improve some congruences of G.S. Kazandzidis and D.F. Bailey to higher prime power moduli, by studying the relation between irregular pairs of the form (p,p−3) and a refined version of Wolstenholme's theorem.