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Algebraic Varieties Read chapter Read first chapter

2009 | OriginalPaper | Chapter

Elliptic Curves over \(\mathbb{C}\)

Author : Joseph H. Silverman

Published in: The Arithmetic of Elliptic Curves

Publisher: Springer New York

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Abstract

Evaluation of the integral giving arc length on a circle, namely \(\int dx/\sqrt{1 - x^{2}}\), leads to an inverse trigonometric function. The analogous problem for the arc length of an ellipse yields an integral that is not computable in terms of so-called elementary functions.

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previous chapter Elliptic Curves over Finite Fields
next chapter Elliptic Curves over Local Fields
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Metadata
Title
Elliptic Curves over
Author
Joseph H. Silverman
Copyright Year
2009
Publisher
Springer New York
Book
The Arithmetic of Elliptic Curves

Print ISBN: 978-0-387-09493-9

Electronic ISBN: 978-0-387-09494-6

Copyright Year: 2009

DOI
https://doi.org/10.1007/978-0-387-09494-6_6

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