A property of algebraic univoque numbers

被引：7

作者：

De Vries, M. ^{[1
]}

机构：

[1] Delft Univ Technol, NL-2628 CD Delft, Netherlands

来源：

ACTA MATHEMATICA HUNGARICA | 2008年 / 119卷 / 1-2期

关键词：

beta-expansions; univoque numbers;

D O I：

10.1007/s10474-007-6252-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the set U of real numbers q >= 1 for which only one sequence (c(i)) of integers 0 <= c(i) <= q satisfies the equality Sigma(infinity)(i= 1) ciq(-i) =1. We show that the set of algebraic numbers in U is dense in the closure (U) over bar of U.

引用

页码：57 / 62

页数：6

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