New Multiple Harmonic Sum Identities Roberto Tauraso Helmut Prodinger DOI: https://doi.org/10.37236/3946 Keywords: Multiple harmonic sums, partial fraction decomposition, Bernoulli numbers, congruences, zeta values 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. PDF Published 2014-05-28 Issue Volume 21, Issue 2 (2014) Article Number P2.43