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

页码：13 / 22

页数：10

共 9 条

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[9] The θ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\theta }$$\end{document}-Congruent Number Elliptic Curves via Fermat-type Algorithms
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