# The Arithmetic of Elliptic Curves

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, elliptic curves over finite fields, the complex numbers, local fields, and global fields. The last two chapters deal with integral and rational points, including Siegel's theorem and explicit computations for the curve Y^2 = X^3 + DX. The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics.

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#### Review: The Arithmetic of Elliptic Curves

Avis d'utilisateur  - Dan - Goodreads

I used this book for a term paper I was writing. Joseph Silverman is a good author to learn from. His books are easier to read and more user friendly than Serge Lang's. Consulter l'avis complet

### Références issues de pages Web

AU: The Arithmetic of Elliptic Curves
The Arithmetic of Elliptic Curves Course Homehage Spring 2004 / Department of Mathematical Sciences, Faculty of Science, Aarhus Universitet.
www.imf.au.dk/ courses/ arithmellipticurves/

MATH 732 THE ARITHMETIC OF ELLIPTIC CURVES ASSIGNMENTS
THE ARITHMETIC OF ELLIPTIC CURVES. ASSIGNMENTS. A note about assignments: The following are the exercises and assignments I suggest you ...
www.math.cornell.edu/ ~alozano/ math732/ assignments.pdf

Improving the arithmetic of elliptic curves in the Jacobi model
In this Letter, we improve the arithmetic of elliptic curves in the Jacobi model and we relax some conditions required to work efficiently on this model. ...
portal.acm.org/ citation.cfm?id=1282649

planetmath: the arithmetic of elliptic curves
3: Joseph H. Silverman, Advanced Topics in the Arithmetic of Elliptic Curves. Springer-Verlag, New York, 1994. 4: Goro Shimura, Introduction to the ...
planetmath.org/ encyclopedia/ ArithmeticOfEllipticCurves.html

Référence:Elliptic Curves (Silverman1) - Wikipédia
The Arithmetic of Elliptic Curves / Joseph H. Silverman. – New York, Berlin, Heidelberg, Tokyo : Springer, 1986. – (Graduate Texts in Mathematics. ...
fr.wikipedia.org/ wiki/ R%C3%A9f%C3%A9rence:Elliptic_Curves_(Silverman1)

Morain: Computing the cardinality of CM elliptic curves using ...
[27] J. H. Silverman Advanced Topics in the Arithmetic of Elliptic Curves, volume 151 of Grad. Texts in Math. Springer-Verlag, 1994. ...
jtnb.cedram.org/ jtnb-bin/ fitem?id=JTNB_2007__19_3_663_0

Elliptic curve - Wikipedia, the free encyclopedia
The Arithmetic of Elliptic Curves. Springer. Joseph H. Silverman (1994). Advanced Topics in the Arithmetic of Elliptic Curves. Springer. ...
en.wikipedia.org/ wiki/ Elliptic_curve

Review: Joseph H. Silverman, The arithmetic of elliptic curves
Joseph H. Silverman, The arithmetic of elliptic curves. Graduate Texts in Mathematics, vol. 106, Springer-Verlag, New York, Berlin, Heidelberg and Tokyo, ...
projecteuclid.org/ handle/ euclid.bams/ 1183553975

The arithmetic of elliptic curves
The arithmetic of elliptic curves The arithmetic of elliptic curves. Authors:. Silverman jh. Year: 1986. Added 01.18.2008. Save to favourites ...
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The work of kolyvagin on the arithmetic of elliptic curves
11, Princeton: Princeton University Press (1971). 9. Silverman, J.: The arithmetic of elliptic curves. Grad. Texts in Math. 106, New. York: Springer (1986)