New Multiple Harmonic Sum Identities

Roberto Tauraso, Helmut Prodinger

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.

Keywords


Multiple harmonic sums; partial fraction decomposition; Bernoulli numbers; congruences; zeta values

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