Periods of Hecke characters /

Periods of Hecke characters /

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Bibliographic Details
Author / Creator:	Schappacher, Norbert.
Imprint:	Berlin ; New York : Springer-Verlag, ©1988.
Description:	1 online resource (xv, 160 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1301 Lecture notes in mathematics (Springer-Verlag) ; 1301.
Subject:	Hecke operators. Forms, Modular. Multiplication, Complex. Forms, Modular. Hecke operators. Multiplication, Complex.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11071225

Hidden Bibliographic Details
ISBN:	9783540388425 3540388427 9780387189154 0387189157 9783540189152 3540189157
Notes:	Includes bibliographical references (pages 148-151) and index. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record.
Summary:	The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. In particular, algebraic relations between values of the gamma function, the so-called formula of Chowla and Selberg and its generalization and Shimura's monomial relations among periods of CM abelian varieties are all presented in a unified way, namely as the analytic reflections of arithmetic identities beetween Hecke characters, with gamma values corresponding to Jacobi sums. The last chapter contains a special case in which Deligne's theorem does not apply.
Other form:	Print version: Schappacher, Norbert. Periods of Hecke characters. Berlin ; New York : Springer-Verlag, ©1988 3540189157

Table of Contents:

Algebraic Hecke Characters
Motives for Algebraic Hecke Characters
The Periods of Algebraic Hecke Characters
Elliptic Integrals and the gamma Function
Abelian Integrals with Complex Multiplication
Motives of CM Modular Forms
References
Alphabetical List of Symbols and Concepts.