Explicit formulas for regularized products and series
Resource Information
The work Explicit formulas for regularized products and series represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Explicit formulas for regularized products and series
Resource Information
The work Explicit formulas for regularized products and series represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Explicit formulas for regularized products and series
 Statement of responsibility
 Jay Jorgenson & Serge Lang, Dorian Goldfeld
 Title variation
 Explicit formulas
 Subject

 Fonctions zêta
 Functions, Zeta
 Functions, Zeta
 Functions, Zeta
 Lfuncties
 Nombres, Théorie des
 Number theory
 Number theory
 Number theory
 Regularisierte Reihe
 Regularisiertes Produkt
 Sequences (Mathematics)
 Sequences (Mathematics)
 Sequences (Mathematics)
 Spectral theory (Mathematics)
 Spectral theory (Mathematics)
 Spectral theory (Mathematics)
 Spectre (Mathématiques)
 Suites (Mathématiques)
 Zetafuncties
 Expansies (wiskunde)
 Language
 eng
 Summary
 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 3manifolds are given as a significant example
 Action
 digitized
 Cataloging source
 SPLNM
 Dewey number

 510 s
 512/.7
 Illustrations
 illustrations
 Index
 index present
 LC call number

 QA3
 QA241
 LC item number
 .L28 no. 1593
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 1593
Context
Context of Explicit formulas for regularized products and seriesWork of
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