On certain mean values of the double zeta-function

DOI10.1215/00277630-2888210zbMath1369.11066arXiv1303.6505OpenAlexW1596680550MaRDI QIDQ5256674

Soichi Ikeda, Yoshikazu Nagata, Kaneaki Matsuoka

Publication date: 19 June 2015

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6505

zbMATH Keywords

mean valuedouble zeta function

Mathematics Subject Classification ID

Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (4)

Mean value theorems for the Apostol-Vu double zeta-function and its application ⋮ On the $a$-points of symmetric sum of multiple zeta function ⋮ Mean square of double zeta-function ⋮ Mean square formula for the double zeta-function

Cites Work

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• Analytic properties of double zeta-functions
• Multiple harmonic series
• Mean value theorems for the double zeta-function
• Fourth moment of the Riemann zeta-function with a shift along the real line
• The mean-value of the Riemann zeta function
• Analytic continuation of multiple zeta-functions and their values at non-positive integers
• Functional equations for double zeta-functions
• Analytic continuation of multiple zeta functions

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