English

Multiple Harmonic Series I: Generalizations of Wolstenholme's Theorem

Number Theory 2009-07-02 v6

Abstract

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.

Keywords

Cite

@article{arxiv.math/0301252,
  title  = {Multiple Harmonic Series I: Generalizations of Wolstenholme's Theorem},
  author = {Jianqiang Zhao},
  journal= {arXiv preprint arXiv:math/0301252},
  year   = {2009}
}

Comments

30 pages, 4 table. We proved some of the conjectures of previous versions

R2 v1 2026-07-22T16:51:20.949Z