ON A NONCRITICAL SYMMETRIC SQUARE L-VALUE OF THE CONGRUENT NUMBER ELLIPTIC CURVES

被引：0
|
作者：
Samart, Detchat [1 ,2 ]
机构：
[1] Burapha Univ, Dept Math, Chon Buri 20131, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2020年 / 101卷 / 01期
关键词：
elliptic curve; symmetric square L-function; Eisenstein-Kronecker series; elliptic polylogarithm;
D O I：
10.1017/S000497271900056X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The congruent number elliptic curves are defined by Ed : y2 = x3 d2x, where d 2 N. We give a simple proof of a formula for L(Sym2(Ed); 3) in terms of the determinant of the elliptic trilogarithm evaluated at some degree zero divisors supported on the torsion points on E-d((Q) over bar).
引用
收藏
页码：13 / 22
页数：10
相关论文
共 29 条
123