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Topics in Classical Automorphic Forms

About this Title

Henryk Iwaniec, Rutgers University, New Brunswick, NJ

Publication: Graduate Studies in Mathematics
Publication Year: 1997; Volume 17
ISBNs: 978-0-8218-0777-4 (print); 978-1-4704-2074-1 (online)
DOI: https://doi.org/10.1090/gsm/017
MathSciNet review: MR1474964
MSC: Primary 11Fxx; Secondary 11-02

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Table of Contents

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Chapters

• Chapter 0. Introduction
• Chapter 1. The classical modular forms
• Chapter 2. Automorphic forms in general
• Chapter 3. The Eisenstein and the Poincaré series
• Chapter 4. Kloosterman sums
• Chapter 5. Bounds for the Fourier coefficients of cusp forms
• Chapter 6. Hecke operators
• Chapter 7. Automorphic $L$-functions
• Chapter 8. Cusp forms associated with elliptic curves
• Chapter 9. Spherical functions
• Chapter 10. Theta functions
• Chapter 11. Representations by quadratic forms
• Chapter 12. Automorphic forms associated with number fields
• Chapter 13. Convolution $L$-functions