On the Finiteness of Perfect Powers in Elliptic Divisibility Sequences
نویسندگان
چکیده
We prove that there are finitely many perfect powers in elliptic divisibility sequences generated by a non-integral point on curves of the form y 2 =x(x +b), where b is any positive integer. achieve this using modularity over real quadratic number fields.
منابع مشابه
Prime powers in elliptic divisibility sequences
Certain elliptic divisibility sequences are shown to contain only finitely many prime power terms. In some cases the methods prove that only finitely many terms are divisible by a bounded number of distinct primes.
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ژورنال
عنوان ژورنال: Journal de Theorie des Nombres de Bordeaux
سال: 2023
ISSN: ['1246-7405', '2118-8572']
DOI: https://doi.org/10.5802/jtnb.1244