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
Resource Information
The item A window into zeta and modular physics, edited by Klaus Kirsten, Floyd L. Williams represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item A window into zeta and modular physics, edited by Klaus Kirsten, Floyd L. Williams represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 Lfunctions, 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 KaluzaKlein extra dimensional gravity, Bosonic string calculations, an abstract Cardy formula for black hole entropy, PattersonSelberg zeta function expression of oneloop quantum field and gravity partition functions, Casimir energy calculations, atomic Schrödinger operators, BoseEinstein condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a solitonblack hole connection in twodimensional gravity, and conformal field theory"
 Language
 eng
 Extent
 351 pages
 Contents

 [pt. 1.] Introductory Lectures: 1. Lectures on zeta functions, Lfunctions 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 FriedmannRobertsonLemaîtreWalker 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 PattersonSelberg zeta function of a hyperbolic cylinder in threedimensional gravity with a negative cosmological constant / Floyd L. Williams
 Part I. Introductory Lectures: 1. Lectures on zeta functions, Lfunctions 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 FriedmannRobertsonLemaıtreWalker 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 PattersonSelberg zeta function of a hyperbolic cylinder in threedimensional gravity with a negative cosmological constant / Floyd L. Williams
 Isbn
 9780521199308
 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
 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 Lfunctions, 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 KaluzaKlein extra dimensional gravity, Bosonic string calculations, an abstract Cardy formula for black hole entropy, PattersonSelberg zeta function expression of oneloop quantum field and gravity partition functions, Casimir energy calculations, atomic Schrödinger operators, BoseEinstein condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a solitonblack hole connection in twodimensional gravity, and conformal field theory"
 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
 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, Lfunctions 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 FriedmannRobertsonLemaîtreWalker 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 PattersonSelberg zeta function of a hyperbolic cylinder in threedimensional gravity with a negative cosmological constant / Floyd L. Williams
 Part I. Introductory Lectures: 1. Lectures on zeta functions, Lfunctions 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 FriedmannRobertsonLemaıtreWalker 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 PattersonSelberg zeta function of a hyperbolic cylinder in threedimensional 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
 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, Lfunctions 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 FriedmannRobertsonLemaîtreWalker 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 PattersonSelberg zeta function of a hyperbolic cylinder in threedimensional gravity with a negative cosmological constant / Floyd L. Williams
 Part I. Introductory Lectures: 1. Lectures on zeta functions, Lfunctions 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 FriedmannRobertsonLemaıtreWalker 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 PattersonSelberg zeta function of a hyperbolic cylinder in threedimensional 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
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