Divisibility sequences of polynomials and heights estimates
Number Theory
2016-09-21 v1 Algebraic Geometry
Abstract
In this note we compute a constant that bounds the number of non--primitive divisors in elliptic divisibility sequences over function fields of any characteristic. We improve a result of Ingram--Mah{\'e}--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.
Keywords
Cite
@article{arxiv.1609.04750,
title = {Divisibility sequences of polynomials and heights estimates},
author = {Bartosz Naskręcki},
journal= {arXiv preprint arXiv:1609.04750},
year = {2016}
}
Comments
to appear in New York Journal of Mathematics