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.
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页码：247 / 258
页数：13
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