New Multiple Harmonic Sum Identities
Combinatorics
2013-12-06 v1 Number Theory
Abstract
We consider a special class of binomial sums involving harmonic numbers and we prove three identities by using the elementary method of the partial fraction decomposition. Some applications to infinite series and congruences are given.
Cite
@article{arxiv.1312.1554,
title = {New Multiple Harmonic Sum Identities},
author = {Helmut Prodinger and Roberto Tauraso},
journal= {arXiv preprint arXiv:1312.1554},
year = {2013}
}