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.
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页码：137 / 141
页数：5
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