Integral representations of equally positive integer-indexed harmonic sums at infinity

Lin Jiu

Research output: Contribution to journalArticlepeer-review

Abstract

We identify a partition-theoretic generalization of Riemann zeta function and the equally positive integer-indexed harmonic sums at infinity, to obtain the generating function and the integral representations of the latter. The special cases coincide with zeta values at positive integer arguments.
Original languageEnglish
Article number10
Pages (from-to)1-4
Number of pages4
JournalResearch in Number Theory
Volume3
Issue number10
DOIs
Publication statusPublished - 2017

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101009 Geometry
  • 101012 Combinatorics
  • 101013 Mathematical logic
  • 101020 Technical mathematics

JKU Focus areas

  • Computation in Informatics and Mathematics

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