Algebraic irrational binary numbers cannot be fixed points of non-trivial constant length or primitive morphisms

被引：21
作者：
Allouche, JP
Zamboni, LQ
机构：
[1] CNRS, LRI, F-91405 Orsay, France
[2] Univ N Texas, Dept Math, Denton, TX 76203 USA
来源：
JOURNAL OF NUMBER THEORY | 1998年 / 69卷 / 01期
关键词：
D O I：
10.1006/jnth.1997.2207
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a positive real number whose binary expansion is a fixed point of a morphism on the alphabet {O, 1} that is either of constant length greater than or equal to 2 or primitive is either rational or transcendental. (C) 1998 Academic Press.
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页码：119 / 124
页数：6
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