Elliptic Functions

Table of Contents

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   Book Overview
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   Chapter 1 Elliptic Functions
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   Chapter 2 Homomorphisms
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   Chapter 3 The Modular Function
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   Chapter 4 Fourier Expansions
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   Chapter 5 The Modular Equation
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   Chapter 6 Higher Levels
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   Chapter 7 Automorphisms of the Modular Function Field
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   Chapter 8 Results from Algebraic Number Theory
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    Chapter 9 Reduction of Elliptic Curves
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    Chapter 10 Complex Multiplication
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    Chapter 11 Shimura’s Reciprocity Law
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    Chapter 12 The Function Δ(ατ)/Δ(τ)
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    Chapter 13 The ι-adic and p-adic Representations of Deuring
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    Chapter 14 Ihara’s Theory
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    Chapter 15 The Tate Parametrization
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    Chapter 16 The Isogeny Theorems
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    Chapter 17 Division Points over Number Fields
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    Chapter 18 Product Expansions
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    Chapter 19 The Siegel Functions and Klein Forms
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    Chapter 20 The Kronecker Limit Formulas
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    Chapter 21 The First Limit Formula and L-series
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    Chapter 22 The Second Limit Formula and L-series