On Periodicity of the Somos Sequences Modulo $$m$$

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-07-05 DOI:10.1134/s000143462403012x

A. V. Ustinov

引用次数: 0

Abstract

We prove the periodicity of finite rank Somos sequences modulo $m$. As an application, we prove the periodicity of the Somos-$(6)(\mathrm{mod}\ m)$ sequence.

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关于索莫斯序列模数$m$$$的周期性

摘要我们证明了有限秩 Somos 序列 modulo （m）的周期性。作为应用，我们证明了Somos-((6)(\mathrm{mod}\m)\)序列的周期性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.