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

Lin Jiu

doi:10.1007/s40993-017-0074-x

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

Lin Jiu

Institut für Symbolisches Rechnen

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

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.

Originalsprache	Englisch
Aufsatznummer	10
Seiten (von - bis)	1-4
Seitenumfang	4
Fachzeitschrift	Research in Number Theory
Volume	3
Ausgabenummer	1
DOIs	https://doi.org/10.1007/s40993-017-0074-x
Publikationsstatus	Veröffentlicht - 01 Dez. 2017

Wissenschaftszweige

101 Mathematik
101001 Algebra
101005 Computeralgebra
101009 Geometrie
101012 Kombinatorik
101013 Mathematische Logik
101020 Technische Mathematik

JKU-Schwerpunkte

Computation in Informatics and Mathematics

Zugriff auf Dokument

10.1007/s40993-017-0074-x

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