Tornheim-Like Series, Harmonic Numbers, and Zeta Values
Journal of Integer Sequences, cilt.25, sa.5, 2022 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 5
- Basım Tarihi: 2022
- Dergi Adı: Journal of Integer Sequences
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Anahtar Kelimeler: harmonic number, Riemann zeta value, Tornheim series
- Akdeniz Üniversitesi Adresli: Evet
Özet
© 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.