LANG'S CONJECTURE AND SHARP HEIGHT ESTIMATES FOR THE ELLIPTIC CURVES y2 = x3 + ax

被引：4

作者：

Voutier, Paul ^{[1
]}

Yabuta, Minoru ^{[1
]}

机构：

[1] Senri High Sch, Suita, Osaka 5650861, Japan

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2013年 / 9卷 / 05期

关键词：

Elliptic curve; canonical height; PRIMITIVE DIVISORS; CANONICAL HEIGHT; DIVISIBILITY SEQUENCES; INTEGRAL POINTS; DIFFERENCE;

D O I：

10.1142/S1793042113500176

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For elliptic curves given by the equation E-a : y(2) = x(3) + ax, we establish the best-possible version of Lang's conjecture on the lower bound for the canonical height of non-torsion rational points along with best-possible upper and lower bounds for the difference between the canonical and logarithmic height.

引用

页码：1141 / 1170

页数：30

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