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 ...
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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.
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Add this copy of A Window Into Zeta and Modular Physics (Mathematical to cart. $83.78, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2014 by Cambridge University Press.
Add this copy of A Window Into Zeta and Modular Physics (Mathematical to cart. $30.00, like new condition, Sold by The Book Bin rated 5.0 out of 5 stars, ships from Salem, OR, UNITED STATES, published 2010 by Cambridge University Press.
Add this copy of A Window Into Zeta and Modular Physics (Mathematical to cart. $67.93, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2010 by Cambridge University Press.
Add this copy of A Window Into Zeta and Modular Physics to cart. $106.13, poor condition, Sold by Books International rated 4.0 out of 5 stars, ships from Toronto, ON, CANADA, published 2010 by Cambridge University Press.
