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Explicit Formulas

Name: Explicit Formulas
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01565885
Price: 12902 HUF
Availability: InStock
Author: Jay Jorgenson
ISBN: 9783540586739

for Regularized Products and Series

Jay Jorgenson

Serge Lang

Dorian Goldfeld

Language

English

Book Paperback

Libristo code: 01565885

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, December 1994

The theory of explicit formulas for regularized products and series forms a natural continuation of... Full description

Libristo code: 01565885

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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.