On the Finiteness of Perfect Powers in Elliptic Divisibility Sequences
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.
- Journal de théorie des nombres de Bordeaux
- Citations: 0
- May 4, 2023