On the independence of greedy expansions of certain algebraic numbers in a Pisot or Salem base

被引：0

作者：

Miyanohara, Eiji ^{[1
]}

机构：

[1] Waseda Univ, Grad Sch Fundamental Sci & Engn, Major Pure & Appl Math, 3-4-1 Okubo,Shinjuku, Tokyo 1698555, Japan

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2024年 / 64卷 / 03期

关键词：

Pisot number; Salem number; greedy expansion;

D O I：

10.1007/s10986-024-09643-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let beta be a Pisot or Salem number with beta>1, and let alpha 1 and alpha(2 )be elements in Q(beta) boolean AND [0,1). In this note, we prove that alpha(1) and alpha(2) have either the same tail greedy expansions in a base beta or independent random greedy expansions in a base beta.

引用

页码：354 / 358

页数：5

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