This book provides an introduction, with applications, to three interconnected
mathematical topics:
• zeta functions in their rich variety: those of Riemann, Hurwitz, Barnes,
Epstein, Selberg, and Ruelle, plus graph zeta functions;
• modular forms: Eisenstein series, Hecke and Dirichlet Lfunctions, Ra
manujan’s tau function, and cusp forms;
• vertex operator algebras: correlation functions, quasimodular forms, mod
ular invariance, rationality, and some current research topics including
highergenus conformal field theory.
