On the L-functions of the curves y2 = xl + A

被引：2
|
作者：
Masri, Riad [1 ]
机构：
[1] McGill Univ, Dept Math, Montreal, PQ H3A 2K6, Canada
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2008年 / 78卷
关键词：
D O I：
10.1112/jlms/jdn040
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let l > 3 be an odd prime and let A be an integer not divisible by l. Let C(A) be the non-singular projective model over of the affine curve C(A): y(2) = x(l) + A. In this paper, we use the theory of Hilbert modular Eisenstein series to obtain a formula for the central value of the Hasse-Weil L-function L(C(A), s) of the curve C(A) when the cyclotomic field (zeta(l)) has ideal class number 1.
引用
收藏
页码：663 / 676
页数：14
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