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Elliptic Functions

Overview of attention for book
Cover of 'Elliptic Functions'

Table of Contents

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    Book Overview
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    Chapter 1 Periods of meromorphic functions
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    Chapter 2 General properties of elliptic functions
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    Chapter 3 Weierstrass’s elliptic function ℘ ( z )
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    Chapter 4 The zeta-function and the sigma-function of Weierstrass
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    Chapter 5 The theta-functions
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    Chapter 6 The modular function J ( τ )
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    Chapter 7 The Jacobian elliptic functions and the modular function λ ( τ )
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    Chapter 8 Dedekind’s η-function and Euler’s theorem on pentagonal numbers
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    Chapter 9 The law of quadratic reciprocity
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    Chapter 10 The representation of a number as a sum of four squares
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    Chapter 11 The representation of a number by a quadratic form
Attention for Chapter 3: Weierstrass’s elliptic function ℘ ( z )
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