Tornheim-Like Series, Harmonic Numbers, and Zeta Values

ALİYEV İ., DİL A.

Journal of Integer Sequences, cilt.25, sa.5, 2022 (ESCI) identifier

  • 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.