Explicit Formulas - for Regularized Products and Series (Paperback, 1994 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1593
Release date:	December 1994
First published:	1994
Authors:	Jay Jorgenson
Appendix by:	Dorian Goldfeld
Authors:	Serge Lang • Dorian Goldfeld
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Paperback
Pages:	160
Edition:	1994 ed.
ISBN-13:	978-3-540-58673-9
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	3-540-58673-3
Barcode:	9783540586739

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