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Explicit Formulas for Regularized Products and Series

Explicit Formulas for Regularized Products and Series
Catalogue Information
Field name Details
Dewey Class 512.7
Title Explicit Formulas for Regularized Products and Series ([EBook] /) / by Jay Jorgenson, Serge Lang, Dorian Goldfeld.
Author Jorgenson, Jay
Added Personal Name Lang, Serge author.
Goldfeld, Dorian author.
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994.
Physical Details VIII, 160 p. : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 1593
ISBN 9783540490418
Summary Note 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.:
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/BFb0074039
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Catalogue Information 42029 Beginning of record . Catalogue Information 42029 Top of page .

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