Explicit Formulas: for Regularized Products and Series: 1593 - Brossura

Jorgenson, Jay

 
9783540586739: Explicit Formulas: for Regularized Products and Series: 1593
Brossura
ISBN 10: 3540586733 ISBN 13: 9783540586739
Casa editrice: Springer, 2009

Sinossi

The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example.

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Contenuti

Explicit formulas for regularized products and series.- A spectral interpretation of Weil's explicit formula.

Product Description

Book by Jorgenson Jay Lang Serge Goldfeld Dorian

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2009
Lingua
Inglese
ISBN 10 
3540586733
ISBN 13 
9783540586739
Rilegatura
Copertina flessibile
Numero di pagine
168
Contatto del produttore
non disponibile
Persona responsabile
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Germania

Altre edizioni note dello stesso titolo

9783662191576: Explicit Formulas: for Regularized Products and Series

Edizione in evidenza

ISBN 10:  3662191571 ISBN 13:  9783662191576
Casa editrice: Springer, 2014
Brossura