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math.NT2003★ 51 cited
Bernoulli Numbers, Wolstenholme's Theorem, and p^5 Variations of Lucas' Theorem
Jianqiang Zhao
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 relati…
math.NT2003★ 7 cited
Multiple Harmonic Series I: Generalizations of Wolstenholme's Theorem
Jianqiang Zhao
In this paper we will study the p-divisibility of partial sums of multiple zeta value series. In particular we provide some generalizations of the classical Wolstenholme's Theorem.