Explicit version of Beilinson's theorem for the modular curve X1 (N)

被引：12

作者：

Brunault, Francois ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, UMPA, F-69364 Lyon 07, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 343卷 / 08期

关键词：

D O I：

10.1016/j.crma.2006.09.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We state an explicit version of Beilinson's theorem for the modular curve X-1 (N). We deduce from it, for any elliptic curve E of prime conductor N, a formula giving L(E, 2) in terms of the twisted values L(E, chi, 1), where X is a character modulo N. We illustrate this result and its consequences in the case of the elliptic curve E = X-1(11).

引用

页码：505 / 510

页数：6

共 14 条

[1]

BEILINSON AA, 1984, SOVREMENNYE PROBLEMY, V24, P181

[2]

Bertin MJ, 2004, J REINE ANGEW MATH, V569, P175

[3] Mahler's measure and special values of L-functions [J].

Boyd, DW .

EXPERIMENTAL MATHEMATICS, 1998, 7 (01) :37-82

[4]

BRUNAULT F, 2005, THESIS U PARIS

[5]

BRUNAULT F, 2006, B SOC MATH FRANCE

[6] Deligne periods of mixed motives, K-theory and the entropy of certain Z(n)-actions [J].

Deninger, C .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 10 (02) :259-281

[7]

Diamond F., 1995, CMS C P, P39

[8] Numerical verification of Beilinson's conjecture for K2 of hyperelliptic curves [J].

Dokchitser, T ;

de Jeu, R ;

Zagier, D .

COMPOSITIO MATHEMATICA, 2006, 142 (02) :339-373

[9]

ilinson, 1986, CONT MATH, V55, P1

[10]

Kubert D. S., 1981, Grundlehren der Mathematischen Wissenschaften, V244

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