Work

Prime power terms in elliptic divisibility sequences

Year: 2010

Type: preprint

Abstract: We consider a particular case of an analog for elliptic curves to the Mersenne problem : finding explicitely all prime power terms in an elliptic divisibility sequence when descent via isogeny is possible. We explain how this question can be related to classical problems in diophantine geometry and we compute an explicit upper bound on the index of prime power terms in magnified elliptic divisibility sequences.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1002.4202

Author: Mahé, Valéry

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: University of East Anglia, Université de Montpellier, Engineering and Physical Sciences Research Council

OpenAlex ID: W4302070657

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