Note on equality of L-functions of elliptic curves

被引：0

作者：

Gusic, I ^{[1
]}

机构：

[1] Univ Zagreb, Fac Chem Engn & Technol, Zagreb 10000, Croatia

来源：

ARCHIV DER MATHEMATIK | 1998年 / 70卷 / 02期

关键词：

Elliptic Curf; Abelian Variety; Number Field; Weil Functor; Supersingular Reduction;

D O I：

10.1007/s000130050176

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the equality L(A, K, s) = L(B, M, s) where A, B are elliptic curves defined over Q, and K, M Galois number fields. Using Faltings theorem on isogenies of abelian varieties, Serre theorem on supersingular reduction of elliptic curves and properties of Weil functor of restriction of scalars, the equality is described completely.

引用

页码：137 / 141

页数：5

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