Continued -fractions with formal power series over finite fields

被引：0

作者：

Hbaib, M. ^{[1
]}

Kammoun, R. ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci, Dept Math, Lab Algebre Geometrie & Theorie Spectral AGTS LR1, Sfax 3038, Tunisia

来源：

RAMANUJAN JOURNAL | 2016年 / 39卷 / 01期

关键词：

Formal power series; beta-Expansion; Pisot series; Continued beta-fraction; BETA-EXPANSIONS; PISOT BASES;

D O I：

10.1007/s11139-015-9725-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a unit Pisot quadratic series over a finite field . We define and study a continued -fraction algorithm, inspired by Euclid's algorithm. We show that any element of has a finite continued -fraction whenever this expansion does not finish infinitely by polynomials of degree 1.

引用

页码：95 / 105

页数：11

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