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arXiv · 1609.04750

Divisibility sequences of polynomials and heights estimates

Bartosz Naskręcki
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Abstract

In this note we compute a constant $N$ 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.

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Bartosz Naskręcki. 2016-09-15. Divisibility sequences of polynomials and heights estimates. https://arxiv.org/abs/1609.04750

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