FINITE BETA-EXPANSIONS

被引：169

作者：

FROUGNY, C

SOLOMYAK, B

机构：

[1] UNIV PARIS 08,F-75252 PARIS 05,FRANCE

[2] UNIV WASHINGTON,DEPT MATH GN50,SEATTLE,WA 98195

[3] INST BLAISE PASCAL,INFORMAT THEOR & PROGRAMMAT LAB,F-75252 PARIS 05,FRANCE

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1992年 / 12卷

关键词：

D O I：

10.1017/S0143385700007057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize numbers having finite beta-expansions where beta belongs to a certain class of Pisot numbers: when the beta-expansion of 1 is equal to a1a2...a(m), where a1 greater-than-or-equal-to a2 greater-than-or-equal-to ... greater-than-or-equal-to a(m) greater-than-or-equal-to 1 and when the beta-expansion of 1 is equal to t1t2...t(m)(t(m+1))omega where t1 greater-than-or-equal-to t2 greater-than-or-equal-to ... greater-than-or-equal-to t(m) > t(m+1) greater-than-or-equal-to 1.

引用

页码：713 / 723

页数：11

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