Periods of Hecke Characters / by Norbert Schappacher.

Format:

Book

Author/Creator:

Schappacher, Norbert, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1301.

Lecture Notes in Mathematics, 0075-8434 ; 1301

Language:

English

Subjects (All):

Number theory.

Number Theory.

Local Subjects:

Number Theory.

Physical Description:

1 online resource (XVIII, 162 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988.

System Details:

text file PDF

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.

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.

Other Format:

Printed edition:

ISBN:

9783540388425

Access Restriction:

Restricted for use by site license.