Work

Twisted rational zeros of linear recurrence sequences

Year: 2025

Type: article

Abstract: We introduce the notion of a twisted rational zero of a nondegenerate linear recurrence sequence (LRS). We show that any nondegenerate LRS has only finitely many such twisted rational zeros. In the particular case of the Tribonacci sequence, we show that and are the only twisted rational zeros that are not integral zeros.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70126

Authors: Yuri Bilu, Florian Luca, Joris Nieuwveld, Joël Ouaknine, James Worrell

Institutions: Centre National de la Recherche Scientifique, Université de Bordeaux, Institut de Mathématiques de Bordeaux, Stellenbosch University, Max Planck Institute for Software Systems, University of Oxford

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Keble College, University of Oxford, UK Research and Innovation, Max Planck Institute for Software Systems, Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche

Awards: G3032849772, G6207916419, TRR 248: Grundlagen verständlicher SoftwareSysteme für eine nachvollziehbare cyberphysische Welt

OpenAlex ID: W4408763390

FWCI: 1.762

Cites: 16

Cited by: 1

Related to: 10