Prime power terms in elliptic divisibility sequences
نویسنده
چکیده
We study a problem on specializations of multiples of rational points on elliptic curves analogous to the Mersenne problem. We solve this problem when descent via isogeny is possible by giving explicit bounds on the indices of prime power terms in elliptic divisibility sequences associated to points in the image of a nontrivial isogeny. We also discuss the uniformity of these bounds assuming the Hall–Lang conjecture.
منابع مشابه
A pr 2 00 4 DIVISIBILITY IN ELLIPTIC DIVISIBILITY SEQUENCES GRAHAM
Certain elliptic divisibility sequences are shown to contain only finitely many prime power terms. In certain circumstances , the methods prove that only finitely many terms have length below a given bound.
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عنوان ژورنال:
- Math. Comput.
دوره 83 شماره
صفحات -
تاریخ انتشار 2014