Zeta functions and the trace formula
type: Item
instance of: scholarly article
title: Zeta functions and the trace formula
zbMATH Open document ID: 1473.11097
DOI: 10.4171/197-1/14
author: Werner Hoffmann
publication date: 2020-07-09T00:00:00Z
review text: Prehomogeneous vector spaces provide a framework for the method of analytic continuation of the zeta integrals due to Hecke, Iwasawa and Tate. In this article, describes instances where convergence can only be achieved by truncation, for the purpose of special values of such zeta integrals appear in the Arthur-Selberg trace formula and their study is relevant in connection with recent ideas in the Langlands programs. A very clear explanation is written through concrete examples of five prehomogeneous vector spaces. Especially the explicit determination of the principal part of zeta distributions and its application are very interesting. For the entire collection see [Zbl 1416.60012].
reviewed by: Takeyoshi Kogiso
Mathematics Subject Classification ID: 11F66
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 11F72
Mathematics Subject Classification ID: 11S90
zbMATH DE Number: 7219051
zbMATH Keywords: prehomogeneous vector spaces
zbMATH Keywords: zeta integrals
zbMATH Keywords: Arthur-Selberg trace formula
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/197-1/14
OpenAlex ID: W2951269197
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description: scientific article; zbMATH DE number 7219051