Mathematics Elliptic Curves with Complex Multiplication and Supersingular Primes UNIVERSITY OF CALIFORNIASANTA BARBARA Adebisi Agboola MaguireMeganThis thesis explores the theory of elliptic curves with complex multiplication needed to prove Noam Elkies result that there are infinitely many supersingular primes ...
root numbercomplex multiplicationquadratic twistsLetE/Fbe an elliptic curve defined over a number fieldF. Suppose thatEhas complex multiplication overF, i.e.EndF(E)is an imaginary quadratic field. With the aid of CM theory, we find elliptic curves whose quadratic twists have a constant root ...
String-Theory Realization of Modular Forms for Elliptic Curves with Complex Multiplication 来自 Semantic Scholar 喜欢 0 阅读量: 22 作者:S Kondo,T Watari 摘要: It is known that the L -function of an elliptic curve defined over \({\mathbb{Q}}\) is given by the Mellin transform of a ...
作者:B.H. Gross 出版社:Springer 出版年:1980-3-18 页数:95 定价:USD 39.95 装帧:Paperback ISBN:9783540097433 豆瓣评分 目前无人评价 写笔记 写书评 加入购书单 分享到 我要写书评 Arithmetic on Elliptic Curves with Complex Multiplication的书评 ···(全部 0 条) 论坛· ...
On units related to the arithmetic of elliptic curves with complex multiplication F. Hajir, On units related to the arithmetic of elliptic curves with complex multiplication. Arch. Math. (Basel) 66 (4) (1996), 280-291. Zbl ... F Hajir - 《Archiv Der Mathematik》 被引量: 0发表: 1996年...
Lecture Notes in Mathematics Arithmetic on Elliptic Curves with Complex Multiplication For every normalized newform f in S_2(Gamma_1(N)) with complex\nmultiplication, we study the modular parametrizations of elliptic curves C from\nthe abelian variety A_f. We apply the results obtained when C...
The paper uses Iwasawa theory at the prime p=2 to prove non‐vanishing theorems for the value at s=1 of the complex L ‐series of certain quadratic twists of the Gross family of elliptic curves with complex multiplication by the field K=Q(q) , where q is any prime ≡7mod8 . Our ...
Computed tomography was used to evaluate the mediastinum preoperatively in 60 patients with non-small cell lung cancer; 49 of these patients had thorough s... G Glazer,M Orringer,B Gross,... - 《Ajr American Journal of Roentgenology》 被引量: 332发表: 1984年 Smoking-related Interstitial Lun...
Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer K Rubin - 《Inventiones Mathematicae》 被引量: 150发表: 1981年 Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer Rubin, K. Elliptic curves with complex multiplication ...
The arithmetic of elliptic curves with complex multiplication Introduction. Although it has occupied a central place in number theory for almost a century, the arithmetic of elliptic curves is still today a subject which is rich in conjectures, but sparse in definitive theorems. In this lecture, ...