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The Resource A window into zeta and modular physics, edited by Klaus Kirsten, Floyd L. Williams

A window into zeta and modular physics, edited by Klaus Kirsten, Floyd L. Williams

Label
A window into zeta and modular physics
Title
A window into zeta and modular physics
Statement of responsibility
edited by Klaus Kirsten, Floyd L. Williams
Contributor
Subject
Genre
Language
eng
Summary
  • "A book consisting of lectures that are part of the series of MSRI workshops and that introduce students and researchers to a portion of the intriguing world of theoretical physics"--
  • "This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms); and (3) vertex operator algebras (correlation functions, quasimodular forms, modular invariance, rationality, and some current research topics including higher genus conformal field theory). Various concrete applications of the material to physics are presented. These include Kaluza-Klein extra dimensional gravity, Bosonic string calculations, an abstract Cardy formula for black hole entropy, Patterson-Selberg zeta function expression of one-loop quantum field and gravity partition functions, Casimir energy calculations, atomic Schrödinger operators, Bose-Einstein condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a soliton-black hole connection in two-dimensional gravity, and conformal field theory"--
Member of
Assigning source
  • Provided by publisher
  • Provided by publisher
Cataloging source
DLC
Dewey number
530.15/556
Illustrations
illustrations
Index
no index present
LC call number
QC20.7.Z47
LC item number
W56 2010
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1962-
http://library.link/vocab/relatedWorkOrContributorName
  • Kirsten, Klaus
  • Williams, Floyd L
Series statement
Mathematical Sciences Research Institute publications
Series volume
57
http://library.link/vocab/subjectName
  • Functions, Zeta
  • Forms, Modular
  • Mathematical physics
Label
A window into zeta and modular physics, edited by Klaus Kirsten, Floyd L. Williams
Instantiates
Publication
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • [pt. 1.] Introductory Lectures: 1. Lectures on zeta functions, L-functions and modular forms with some physical applications / Floyd L. Williams -- 2. Basic zeta functions and some applications in physics / Klaus Kirsten -- 3. Zeta functions and chaos / Audrey Terras -- 4. Vertex operators and modular forms / Geoffrey Mason and Michael Tuite -- [pt. 2.] Research Lectures: 5. Applications of elliptic and theta functions to Friedmann-Robertson-Lemaître-Walker cosmology with cosmological constant / Jennie D'Ambroise -- 6. Integrable systems and 2D gravitation : how a soliton illuminates a black hole / Shabnam Beheshti -- 7. Functional determinants in higher dimensions using contour integrals / Klaus Kirsten -- 8. The role of the Patterson-Selberg zeta function of a hyperbolic cylinder in three-dimensional gravity with a negative cosmological constant / Floyd L. Williams
  • Part I. Introductory Lectures: 1. Lectures on zeta functions, L-functions and modular forms with some physical applications / Floyd L. Williams -- 2. Basic zeta functions and some applications in physics / Klaus Kirsten -- 3. Zeta functions and chaos Audrey Terras -- 4. Vertex operators and modular forms / Geoffrey Mason and Michael Tuite -- Part II. Research Lectures: 5. Applications of elliptic and theta functions to Friedmann-Robertson-Lemaıtre-Walker cosmology with cosmological constant / Jennie D'Ambroise -- 6. Integrable systems and 2D gravitation: How a soliton illuminates a black hole / Shabnam Beheshti -- 7. Functional determinants in higher dimensions using contour integrals / Klaus Kirsten -- 8. The role of the Patterson-Selberg zeta function of a hyperbolic cylinder in three-dimensional gravity with a negative cosmological constant / Floyd L. Williams
Control code
573196469
Dimensions
24 cm
Extent
351 pages
Isbn
9780521199308
Isbn Type
(hbk.)
Lccn
2010011288
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)573196469
Label
A window into zeta and modular physics, edited by Klaus Kirsten, Floyd L. Williams
Publication
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • [pt. 1.] Introductory Lectures: 1. Lectures on zeta functions, L-functions and modular forms with some physical applications / Floyd L. Williams -- 2. Basic zeta functions and some applications in physics / Klaus Kirsten -- 3. Zeta functions and chaos / Audrey Terras -- 4. Vertex operators and modular forms / Geoffrey Mason and Michael Tuite -- [pt. 2.] Research Lectures: 5. Applications of elliptic and theta functions to Friedmann-Robertson-Lemaître-Walker cosmology with cosmological constant / Jennie D'Ambroise -- 6. Integrable systems and 2D gravitation : how a soliton illuminates a black hole / Shabnam Beheshti -- 7. Functional determinants in higher dimensions using contour integrals / Klaus Kirsten -- 8. The role of the Patterson-Selberg zeta function of a hyperbolic cylinder in three-dimensional gravity with a negative cosmological constant / Floyd L. Williams
  • Part I. Introductory Lectures: 1. Lectures on zeta functions, L-functions and modular forms with some physical applications / Floyd L. Williams -- 2. Basic zeta functions and some applications in physics / Klaus Kirsten -- 3. Zeta functions and chaos Audrey Terras -- 4. Vertex operators and modular forms / Geoffrey Mason and Michael Tuite -- Part II. Research Lectures: 5. Applications of elliptic and theta functions to Friedmann-Robertson-Lemaıtre-Walker cosmology with cosmological constant / Jennie D'Ambroise -- 6. Integrable systems and 2D gravitation: How a soliton illuminates a black hole / Shabnam Beheshti -- 7. Functional determinants in higher dimensions using contour integrals / Klaus Kirsten -- 8. The role of the Patterson-Selberg zeta function of a hyperbolic cylinder in three-dimensional gravity with a negative cosmological constant / Floyd L. Williams
Control code
573196469
Dimensions
24 cm
Extent
351 pages
Isbn
9780521199308
Isbn Type
(hbk.)
Lccn
2010011288
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)573196469

Library Locations

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      38.944377 -92.326537
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