A continuous version of multiple zeta functions and multiple zeta values

In this paper we define a continuous version of multiple zeta functions. They can be analytically continued to meromorphic functions on $\mathbb{C}^r$ with only simple poles at some special hyperplanes. The evaluations of these functions at positive integers (continuous multiple zeta values) satisfy...

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Bibliographic Details
Main Author: Li, Jiangtao
Format: Article
Language:English
Published: Académie des sciences 2023-03-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.440/