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This title in other editions

A Window Into Zeta and Modular Physics (Mathematical Sciences Research Institute Publications)

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A Window Into Zeta and Modular Physics (Mathematical Sciences Research Institute Publications) Cover

 

Synopses & Reviews

Publisher Comments:

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 Schr dinger 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.

Synopsis:

Consists of lectures that are part of the MSRI workshops and that introduce students and researchers to the intriguing world of theoretical physics.

Product Details

ISBN:
9780521199308
Author:
Kirsten, Klaus
Publisher:
Cambridge University Press
Editor:
Klaus, Kirsten
Editor:
Williams, Floyd L.
Subject:
Mathematical Physics
Subject:
Forms, Modular.
Subject:
Physics-Math
Series:
Mathematical Sciences Research Institute Publications
Publication Date:
20100631
Binding:
Hardcover
Language:
English
Pages:
360

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Science and Mathematics » Physics » Math

A Window Into Zeta and Modular Physics (Mathematical Sciences Research Institute Publications) New Hardcover
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Product details 360 pages Cambridge University Press - English 9780521199308 Reviews:
"Synopsis" by , Consists of lectures that are part of the MSRI workshops and that introduce students and researchers to the intriguing world of theoretical physics.
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