New harmonic number identities with applications
Number Theory
2009-12-15 v1
Abstract
We determine the explicit formulas for the sum of products of homogeneous multiple harmonic sums when . We apply these identities to the study of two congruences modulo a power of a prime.
Cite
@article{arxiv.0912.2497,
title = {New harmonic number identities with applications},
author = {Roberto Tauraso},
journal= {arXiv preprint arXiv:0912.2497},
year = {2009}
}