Divisibility sequences of polynomials and heights estimates

摘要

In this note we compute a constant N that bounds the number of nonprimitive divisors in elliptic divisibility sequences over function fields of any characteristic. We improve a result ofIngram-Mahé-Silverman-Stange-Streng, 2012,and we show that the constant can be chosen independently of the specific point and to some extent of the specific curve, as predicted in loc. cit.