New Multiple Harmonic Sum Identities

  • Roberto Tauraso
  • Helmut Prodinger
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 seriesĀ  and congruences are given.
Published
2014-05-28
Article Number
P2.43