Mean value theorems for the Apostol-Vu double zeta-function and its application

DOI10.1007/S40879-023-00656-7arXiv2204.02012OpenAlexW4385462126WikidataQ123268180 ScholiaQ123268180MaRDI QIDQ6169203

Yuichiro Toma

Publication date: 14 August 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.02012

zbMATH Keywords

mean value theoremMellin-Barnes integral formulaApostol-Vu double zeta-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions. I.
• Mean square formula for the double zeta-function
• Mean square of double zeta-function
• Mean value theorems for the double zeta-function
• Mean value theorems for the Mordell-Tornheim double zeta-function
• The mean values of the double zeta-function
• Mean values of the Barnes double zeta-function
• Hilbert's Inequality
• On certain mean values of the double zeta-function
• The fourth power moment of the double zeta-function

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