Work

Divisibility sequences of polynomials and heights estimates

Year: 2016

Type: article

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{é}--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.

Source: Bristol Research (University of Bristol)

DOI: 10.48550/arxiv.1609.04750

Author: Naskręcki, Bartosz

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2521310052

FWCI: 0.472

Cites:

Cited by: 4

Related to: 20