Publisher |
Cambridge University Press |
Publication Year |
2014 |
ISBN-13 |
9781107633933 |
ISBN-10 |
1107633931 |
Binding |
Paperback |
Number of Pages |
360 Pages |
Language |
(English) |
Weight (grms) |
510 |
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 Schroedinger operators, Bose-Einstein condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta functi
Floyd L. Williams
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.
Floyd L. Williams
Cambridge University Press