BETA-EXPANSIONS WITH PISOT BASES OVER Fq((x-1))

被引：3

作者：

Hbaib, Mohamed ^{[1
]}

机构：

[1] Fac Sci Sfax, Dept Math, Sfax 3000, Tunisia

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 49卷 / 01期

关键词：

formal power series; beta-expansion; Pisot series;

D O I：

10.4134/BKMS.2012.49.1.127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that if the beta-expansion of any nonnegatiye integer is finite, then beta is a Pisot or Salem number. We prove here that in Fq((x(-1))), the beta-expansion of the polynomial part of beta is finite if and only if beta is a Pisot series. Consequently we give an other proof of Scheicher theorem about finiteness property in F-q((x(-1))). Finally we show that if the base beta is a Pisot series, then there is a bound of the length of the fractional part of beta-expansion of any polynomial P in F-q[x].

引用

页码：127 / 133

页数：7

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