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

Jorgenson, Jay

Brossura

ISBN 10: 3540586733 ISBN 13: 9783540586739

Casa editrice: Springer, 2009

Riassunto

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.

Su questo libro

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

Dettagli dell'edizione

• 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
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