Modular Functions and Modular Forms
β Milne J.S.
π Library
π
1997
π English
β¦ LIBER β¦
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Modular Functions and Modular Forms
β Scribed by Milne J.S.
- Year
- 2017
- Tongue
- English
- Leaves
- 134
- Category
- Library
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β¦ Table of Contents
Contents
Introduction
I The Analytic Theory
1 Preliminaries
2 Elliptic Modular Curves as Riemann Surfaces
3 Elliptic Functions
4 Modular Functions and Modular Forms
5 Hecke Operators
II The Algebro-Geometric Theory
6 The Modular Equation for G0(N)
7 The Canonical Model of X0(N) over Q
8 Modular Curves as Moduli Varieties
9 Modular Forms, Dirichlet Series, and Functional Equations
10 Correspondences on Curves; the Theorem of Eichler-Shimura
11 Curves and their Zeta Functions
12 Complex Multiplication for Elliptic Curves Q
Index
List of Symbols
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