The density of primes dividing a particular non-linear recurrence sequence

DOI10.4064/aa8265-4-2016zbMath1354.11043arXiv1508.02464OpenAlexW2962792021MaRDI QIDQ2833588

Jeremy Rouse, Sarah Parsons, Heesu Hwang, Noam Kantor, Tyler Genao, Alexi Block Gorman

Publication date: 18 November 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02464

zbMATH Keywords

elliptic curvesGalois representationdensity of primes

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80) Distribution of primes (11N05)

Related Items (2)

Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves ⋮ Density of odd order reductions for elliptic curves with a rational point of order 2

Uses Software

• Magma
• PARI/GP
• SageMath

Cites Work

• Unnamed Item
• The set of primes dividing the Lucas numbers has density 2/3
• The Magma algebra system. I: The user language
• Surjectivity of mod \(2^n\) representations of elliptic curves
• Galois theory of iterated endomorphisms
• The Arithmetic of Elliptic Curves
• The density of primes dividing a term in the Somos-5 sequence

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