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....
定价:USD 59.95 装帧:Hardcover 丛书:Graduate Texts in Mathematics ISBN:9780387094939 豆瓣评分 评价人数不足 评价: 写笔记 写书评 加入购书单 分享到 推荐 内容简介· ··· The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in...
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...
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...
ARITHMETIC MODULI OF ELLIPTIC CURVES (Annals of Mathematics Studies 108) It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is ... J Coates - 《Bulletin of the London Mathematical Society》 被引量:...
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 industrial...
F> 0 for all irreducible curves F C S.As mentioned above, the reader may at this point wish to proceeddirectly to thenext section,where we will apply the Height Machine tostudy the specialization map on elliptic surfaces.The remainder of thissection is devoted to proving Theorems 10.1-10...
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 ...
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