On the Finiteness of Perfect Powers in Elliptic Divisibility Sequences
Number Theory
2021-12-21 v1
Abstract
We prove that there are finitely many perfect powers in elliptic divisibility sequences generated by a non-integral point on elliptic curves of the from , where is any positive integer. We achieve this by using the modularity of elliptic curves over real quadratic number fields.
Keywords
Cite
@article{arxiv.2112.09758,
title = {On the Finiteness of Perfect Powers in Elliptic Divisibility Sequences},
author = {Abdulmuhsin Alfaraj},
journal= {arXiv preprint arXiv:2112.09758},
year = {2021}
}