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On the Finiteness of Perfect Powers in Elliptic Divisibility Sequences
Published 17 Dec 2021 in math.NT | (2112.09758v1)
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 $y2=x(x2+b)$, 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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