Tornheim-Like Series, Harmonic Numbers, and Zeta Values
Journal of Integer Sequences, vol.25, no.5, 2022 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 25 Issue: 5
- Publication Date: 2022
- Journal Name: Journal of Integer Sequences
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Keywords: harmonic number, Riemann zeta value, Tornheim series
- Akdeniz University Affiliated: Yes
Abstract
© 2022, University of Waterloo. All rights reserved.We obtain explicit evaluations of the Tornheim-like multiple series involving harmonic numbers. We give a new relationship between harmonic numbers and ζ(2). We also present closed-form formulas of some multiple series in terms of zeta values.