线性递归序列的扭曲有理零

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-03-21 DOI:10.1112/jlms.70126

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

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引用次数: 0

摘要

引入了非退化线性递归序列的扭曲有理零的概念。我们证明了任何非简并LRS只有有限多个这样的扭曲有理零。在Tribonacci序列的特殊情况下，我们证明了1/3$ 1/3$和-5/3$是唯一的非积分零的扭曲有理数零。

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Twisted rational zeros of linear recurrence sequences

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 $1 / 3$ and $- 5 / 3$ are the only twisted rational zeros that are not integral zeros.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.