Coverart for item
The Resource Explicit formulas for regularized products and series, Jay Jorgenson & Serge Lang, Dorian Goldfeld

Explicit formulas for regularized products and series, Jay Jorgenson & Serge Lang, Dorian Goldfeld

Label
Explicit formulas for regularized products and series
Title
Explicit formulas for regularized products and series
Statement of responsibility
Jay Jorgenson & Serge Lang, Dorian Goldfeld
Title variation
Explicit formulas
Creator
Contributor
Subject
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 3-manifolds are given as a significant example
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorName
Jorgenson, Jay
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
http://library.link/vocab/relatedWorkOrContributorDate
1927-2005
http://library.link/vocab/relatedWorkOrContributorName
  • Lang, Serge
  • Goldfeld, D
Series statement
Lecture notes in mathematics,
Series volume
1593
http://library.link/vocab/subjectName
  • Number theory
  • Spectral theory (Mathematics)
  • Functions, Zeta
  • Sequences (Mathematics)
  • Nombres, Théorie des
  • Spectre (Mathématiques)
  • Fonctions zêta
  • Suites (Mathématiques)
  • Functions, Zeta
  • Number theory
  • Sequences (Mathematics)
  • Spectral theory (Mathematics)
  • Zeta-functies
  • L-functies
  • Expansies (wiskunde)
  • Regularisiertes Produkt
  • Regularisierte Reihe
Label
Explicit formulas for regularized products and series, Jay Jorgenson & Serge Lang, Dorian Goldfeld
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Explicit formulas for regularized products and series / Jay Jorgenson and Serge Lang -- A spectral interpretation of Weil's explicit formula / Dorian Foldfeld
Control code
289101922
Dimensions
unknown
Extent
1 online resource (viii, 154 pages)
Form of item
online
Isbn
9783540490418
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)289101922
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Explicit formulas for regularized products and series, Jay Jorgenson & Serge Lang, Dorian Goldfeld
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Explicit formulas for regularized products and series / Jay Jorgenson and Serge Lang -- A spectral interpretation of Weil's explicit formula / Dorian Foldfeld
Control code
289101922
Dimensions
unknown
Extent
1 online resource (viii, 154 pages)
Form of item
online
Isbn
9783540490418
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)289101922
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

Library Locations

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      38.944491 -92.326012
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