Explicit Formulas: for Regularized Products and Series by Jay JorgensonExplicit Formulas: for Regularized Products and Series by Jay Jorgenson

Explicit Formulas: for Regularized Products and Series

byJay Jorgenson, Serge LangAppendix byDorian Goldfeld

Paperback | December 16, 1994

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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.
Title:Explicit Formulas: for Regularized Products and SeriesFormat:PaperbackDimensions:162 pagesPublished:December 16, 1994Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540586733

ISBN - 13:9783540586739

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Table of Contents

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