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Modular Forms: A Classical Approach
About this Title
Henri Cohen, Université Bordeaux, Bordeaux, France and Fredrik Strömberg, University of Nottingham, Nottingham, United Kingdom
Publication: Graduate Studies in Mathematics
Publication Year:
2017; Volume 179
ISBNs: 978-0-8218-4947-7 (print); 978-1-4704-4081-7 (online)
DOI: https://doi.org/10.1090/gsm/179
MathSciNet review: MR3675870
MSC: Primary 11-01; Secondary 11Fxx
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- Introduction
- Elliptic functions, elliptic curves, and theta function
- Basic tools
- The modular group
- General aspects of holomorphic and nonholomorphic modular forms
- Sets of $2 \times 2$ integer matrices
- Modular forms and functions on subgroups
- Eisenstein and Poincaré series
- Fourier coefficients of modular forms
- Hecke operators and Euler products
- Dirichlet series, functional equations, and periods
- Unfolding and kernels
- Atkin–Lehner–Li theory
- Theta functions
- More general modular forms: An introduction
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