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.
Published
2014-05-28
How to Cite
Tauraso, R., & Prodinger, H. (2014). New Multiple Harmonic Sum Identities. The Electronic Journal of Combinatorics, 21(2), P2.43. https://doi.org/10.37236/3946
Issue
Volume 21, Issue 2 (2014)
Article Number
P2.43