Contents
Preface
Chapter 0. Introduction
Chapter 1. The Classical Modular Forms
1.1. Periodic functions
1.2. Elliptic functions
1.3. Modular functions
1.4. The Fourier expansion of Eisenstein series
1.5. The modular group
1.6. The linear space of modular forms
Chapter 2. Automorphic Forms in General
2.1. The hyperbolic plane
2.2. The classification of motions
2.3. Discrete groups Fuchsian groups
2.4. Congruence groups
2.5. Double coset decomposition
2.6. Multiplier systems
2.7. Automorphic forms
2.8. The eta-function and the theta-function
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