Periods of Hecke characters
type: Item
instance of: scholarly article
title: Periods of Hecke characters
zbMATH Open document ID: 0659.14001
author: Norbert Schappacher
published in: Lecture Notes in Mathematics
publication date: 1993-06-05T00:00:00Z
review text: The present article is devoted to the motivic theory for several objects around the periods of Hecke characters. The objects are Shimura-Taniyama's theorem for complex multiplication (I,{\S} 1) absolute Hodge cycles (I,{\S} 2), Hecke characters (I,{\S}{\S} 3-5), Taniyama group (I,{\S} 6), Jacobi sum (I,{\S} 7), Chowla-Selberg formula (III) and modular forms (V). The Chapter II is the technical heart of this article. Chapter IV mainly concerns with Shimura's relations between periods of abelian varieties of CM type and generalizations of the Chowla-Selberg formula to abelian fields from the view point of motifs.
reviewed by: Koji Katayama
Mathematics Subject Classification ID: 14A20
Mathematics Subject Classification ID: 14G25
Mathematics Subject Classification ID: 14-02
Mathematics Subject Classification ID: 14K22
zbMATH DE Number: 192987
zbMATH Keywords: motivic theory
zbMATH Keywords: periods of Hecke characters
zbMATH Keywords: complex multiplication
zbMATH Keywords: Taniyama group
zbMATH Keywords: Jacobi sum
zbMATH Keywords: Chowla-Selberg formula
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bfb0082094
OpenAlex ID: W4213062281
DOI: 10.1007/BFB0082094
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description: scientific article; zbMATH DE number 192987