Explicit Formulas

Name: Explicit Formulas
SKU: 5765275
Price: 120.00 NZD
Availability: InStock

for Regularized Products and Series

By:

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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$120.00

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Description

The theory of explicit formulae for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulae can be used to describe the quantitative behaviour 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 formulae 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 ad representation theory. Here, the hyperbolic 3-manifolds are given as a significant example.

Release date NZ

December 16th, 1994

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Contributor

Appendix by Dorian Goldfeld

Illustrations

VIII, 160 p.

Pages

160

Series

Lecture Notes in Mathematics

Dimensions

156x234x9

ISBN-13

9783540586739

Product ID

5765275

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