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.
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页码：354 / 358
页数：5
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