English

Summation of Hyperharmonic Series

Combinatorics 2008-11-04 v1

Abstract

We shall show that the sum of the series formed by the so-called hyperharmonic numbers can be expressed in terms of the Riemann zeta function. More exactly, we give summation formula for the general hyperharmonic series.

Keywords

Cite

@article{arxiv.0811.0042,
  title  = {Summation of Hyperharmonic Series},
  author = {István Mező},
  journal= {arXiv preprint arXiv:0811.0042},
  year   = {2008}
}

Comments

10 pages

R2 v1 2026-06-21T11:37:11.251Z