APPROXIMATE FUNCTIONAL EQUATION AND UPPER BOUNDS FOR THE BARNES DOUBLE ZETA-FUNCTION

DOI10.17654/NT043020155zbMath1444.11185arXiv1810.08295OpenAlexW2964643416MaRDI QIDQ5126468

Takashi Miyagawa

Publication date: 19 October 2020

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08295

zbMATH Keywords

saddle point methodapproximate functional equationBarnes double zeta-functionvan der Corput method

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Lerch zeta-function
• An approximate functional equation for the Lerch zeta-function.
• Mean values of the Barnes double zeta-function
• Decoupling, exponential sums and the Riemann zeta function
• Approximate functional equations for the Hurwitz and Lerch zeta-functions
• Barnes multiple zeta-functions, Ramanujan's formula, and relevant series involving hyperbolic functions

This page was built for publication: APPROXIMATE FUNCTIONAL EQUATION AND UPPER BOUNDS FOR THE BARNES DOUBLE ZETA-FUNCTION