Pisot numbers and greedy algorithm

被引：0
|
作者：
Akiyama, S [1 ]
机构：
[1] Niigata Univ, Fac Sci, Dept Math, Niigata 95021, Japan
来源：
NUMBER THEORY: DIOPHANTINE, COMPUTATIONAL AND ALGEBRAIC ASPECTS | 1998年
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the greedy expansion of real numbers in Pisot number base. We will show a certain criterions of finiteness, periodicity, and purely periodicity. Further, it is proved that every sufficiently small positive rational numbers has purely periodic greedy expansion in Pisot unit base under a certain finiteness condition.
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页码：9 / 21
页数：5
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