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A Window into Zeta and Modular Physics (Mathematical Sciences Research Institute Publications) download epub

by Klaus Kirsten,Floyd L. Williams


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A Window into Zeta an Modular Physics talk II Michael Tuite. MSRI: Simons Auditorium.

Organizers Floyd Williams (University of Massachusetts) and Klaus Kirsten (Baylor University). A Window into Zeta an Modular Physics talk II Michael Tuite.

oceedings{Kirsten2014AWI, title {A Window into Zeta and Modular Physics}, author {Klaus Kirsten and Floyd .

oceedings{Kirsten2014AWI, title {A Window into Zeta and Modular Physics}, author {Klaus Kirsten and Floyd L. Williams}, year {2014} }. Klaus Kirsten, Floyd L. Williams.

Klaus Kirsten Baylor University Lectures of Floyd Williams cover topics such as the Riemann zeta function.

Klaus Kirsten Baylor University. Floyd L. Williams University of Massachusetts, Amherst. Klaus Kirsten Department of Mathematics Baylor University Waco, TX 76798 United States Klaus Kirstenor.

MSRI was founded in 1982, and its funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions.

Dr Klaus Kirsten is a Professor of Mathematics at Baylor University

Dr Klaus Kirsten is a Professor of Mathematics at Baylor University. He is the author of Spectral Functions in Mathematics and Physics (2002) and more than 100 refereed articles in international journals. Williams is Emeritus Professor of Mathematics at the University of Massachusetts, Amherst.

Category Type: Physics ISBN: 9780521199308 Author: Klaus Kirsten, Floyd L. Williams Publisher: Cambridge University Press . Top Products in Booksmore.

Top Products in Booksmore.

High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Physics (quant-ph).

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Physics (quant-ph). Journal reference: MSRI Publ.

The survey lectures range from the basic properties of Riemann’s zeta function (analytic continuation, functional equation, special values, Euler product expansion, L-functions, modular forms and L-functions attached to modular forms) to some initial applications: Planck’s radiation density integral formula, zeta regularization (a procedure for assigning to some infinite quantities a finite value, usually given by a special value of.

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.
A Window into Zeta and Modular Physics (Mathematical Sciences Research Institute Publications) download epub
Physics
Author: Klaus Kirsten,Floyd L. Williams
ISBN: 0521199301
Category: Science & Math
Subcategory: Physics
Language: English
Publisher: Cambridge University Press; 1 edition (May 24, 2010)
Pages: 360 pages