Scholl A.J. Modular Forms and L-functions

University of Cambridge, 2017. — 97.Introduction
Some preliminary analysis
Characters of abelian groups
Fourier transforms
Mellin transform and Gamma-function
Riemann zeta-function
Dirichlet L-functions
The modular group
Modular forms of level 1
Basic definitions
The space of modular forms
Arithmetic of Delta
Hecke operators
Hecke operators and algebras
Hecke operators on modular forms
L-functions of eigenforms
Modular forms for subgroups of SL2(Z)
Definitions
The Petersson inner product
Examples of modular forms
Hecke theory for Gamma0(N)
Modular forms and rep theory
Index