Integer points on elliptic curves

被引：3

作者：

Chi, WC ^{[1
]}

Lai, KF

Tan, KS

机构：

[1] Natl Taiwan Normal Univ, Dept Math, Taipei, Taiwan

[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

[3] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2005年 / 222卷 / 02期

关键词：

D O I：

10.2140/pjm.2005.222.237

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Lang's conjecture on the number of S-integer points on an elliptic curve over a number field. We improve the exponent of the bound of Gross and Silverman from quadratic to linear by using the S-unit equation method of Evertse and a formula on 2-division points.

引用

页码：237 / 252

页数：16

共 10 条

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Chi, WC
Lai, KF
Tan, KS
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[10] TAN KS, 2002, 2 DIVISION FORMULA E

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