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math.CAMay 3, 2005
47
citations (OpenAlex)
authors
  • David Borwein
  • Jonathan M. Borwein
  • David M. Bradley
institutions
  • Dalhousie University
  • University of Maine
  • Western University
arXiv abstractPDF
paper

Parametric Euler Sum Identities

arXiv:math/0505058 · doi:10.1016/j.jmaa.2005.04.040

Abstract

We consider some parametrized classes of multiple sums first studied by Euler. Identities between meromorphic functions of one or more variables generate reduction formulae for these sums.

12 pages

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  • On the Stieltjes constants with respect to harmonic zeta functions
  • Yet Another Table of Integrals
  • A parametrized generalization of Ohno's relation for multiple zeta values
  • Identities for the q-harmonic numbers and q-binomial coefficients
  • Some evaluation of parametric Euler sums
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