On the Finiteness of Perfect Powers in Elliptic Divisibility Sequences

被引：1

作者：

Alfaraj, Abdulmuhsin ^{[1
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, England

来源：

JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2023年 / 35卷 / 01期

关键词：

D O I：

10.5802/jtnb.1244

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that there are finitely many perfect powers in elliptic divisibility sequences generated by a non-integral point on elliptic curves of the form y(2) = x(x(2) + b), where b is any positive integer. We achieve this by using the modularity of elliptic curves over real quadratic number fields.

引用

页码：247 / 258

页数：13

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