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 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 approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief...
J. Woo, Arithmetic of Elliptic Curves and Surfaces Descent and Quadratic Sections, PhD thesis, Harvard University, 2010. Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Za-J. Woo, Arithmetic of Elliptic Curves and Surfaces Descent and Quadratic Sections, PhD thesis,...
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 approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief...
For this second edition of The Arithmetic of Elliptic Curves, there is a new chapter entitled Algorithmic Aspects of Elliptic Curves, with an emphasis on algorithms over finite fields which have cryptographic applications. These include Lenstra's factorization algorithm, Schoof's point counting algorith...
Coates, J.: An effectivep-adic analog of a theorem of Thue III. The Diophantine Equationy 2=x 3+k. Acta ArithmeticaXVI, 425–435 (1970) Google Scholar Demjanenko, V.A.: On the torsion of elliptic curves (in Russian). Isv. Acad. Nauk. U.S.S.R.35, 280–307 (1971) (English...
Wet air oxidation (WAO) for the treatment of industrial wastewater and domestic sludge. Design of bubble column reactors 7 p. Wet air oxidation (WAO) for the treatment of industrial wastewater and domestic sludge. Design of bu 7 p. Wet air oxidation (WAO) for the treatment of industri...
For semistable elliptic curves defined over Q and parametrized by modular functions our parity results agree with those predicted analytically by the conjectures of Birch and Swinnerton-Dyer. 1. Introduction. Let E be an elliptic curve defined over a number field F. Our motivating question is ...
43 Adversarial training through the lens of optimal transport 1:16:40 Central Limit Theorems in Analytic Number Theory 48:39 Kantorovich operators and their ergodic properties 1:02:06 L-Functions of Elliptic Curves Modulo Integers 49:33 The Bootstrap Learning Algorithm 20:49 A logarithmic ...
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