Name: A Window Into Zeta and Modular Physics (Mathematical Sciences Research Institute Publications)
SKU: 51528760
Price: 86.72 EUR
Availability: InStock
Author: Klaus Kirsten

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

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

Type

Physical Book

Publisher

Cambridge University Press

Author

Klaus Kirsten

Year

2014

Language

English

Pages

360

Format

Paperback

ISBN13

9781107633933

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

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.

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

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

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