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 CurvesUser Review - 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.
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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. ...
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
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)
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Silverman, Joseph H., Advanced topics in the arithmetic of elliptic curves. Graduate Texts in Mathematics, 151. Springer-Verlag, New York, 1994. ...
w3.impa.br/ ~hossein/ courses/ ellipticmodular08.html
Elliptic Curves (Spring semester 2005)
The main subject of the course is the arithmetic of elliptic curves. An elliptic curve may be defined as a plane non-singular cubic curve together with a ...
www.math.leidenuniv.nl/ ~ekkelkam/ elliptic_curves/