Analytic properties of double zeta-functions

DOI10.1016/J.INDAG.2010.12.001zbMath1253.11084OpenAlexW1969535166MaRDI QIDQ716488

Isao Kiuchi, Zhai, Wenguang, Yoshio Tanigawa

Publication date: 22 September 2011

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2010.12.001

zbMATH Keywords

functional equationlower boundconfluent hypergeometric functionsdouble zeta-function

Mathematics Subject Classification ID

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

Related Items (6)

On the behavior of multiple zeta-functions with identical arguments on the real line ⋮ Mean square of double zeta-function ⋮ Mean square formula for the double zeta-function ⋮ Bounds of double zeta-functions and their applications ⋮ Mean value theorems for the double zeta-function ⋮ On certain mean values of the double zeta-function

Cites Work

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• A zero-density theorem for the Riemann zeta-function
• The analytic continuation and the order estimate of multiple Dirichlet series.
• Multiple zeta values at non-positive integers
• 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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