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 Schrodinger 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.
About Klaus Kirsten
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. Floyd L. Williams is Emeritus Professor of Mathematics at the University of Massachusetts, Amherst. He has edited or authored 27 books and published 78 research papers in math and physics journals. Williams has given more than 100 invited lectures at numerous universities in America and in some 20 different countries around the world.Details Book
Author  :  Klaus Kirsten 
Publisher  :  Cambridge University Press 
Data Published  :  02 January 2014 
ISBN  :  1107633931 
EAN  :  9781107633933 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  360 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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