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
收藏
页码：95 / 105
页数：11
相关论文
共 50 条
12345