Hyperquadratic continued fractions in odd characteristic with partial quotients of degree one

被引：11

作者：

Lasjaunias, A. ^{[1
]}

Yao, J. -Y. ^{[2
]}

机构：

[1] Univ Bordeaux, CNRS UMR 5251, Inst Math Bordeaux, F-33405 Talence, France

[2] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 149卷

基金：

中国国家自然科学基金;

关键词：

Continued fractions; Fields of power series; Finite fields; POWER-SERIES; DIOPHANTINE APPROXIMATION;

D O I：

10.1016/j.jnt.2014.10.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1986, some examples of algebraic, and nonquadratic, power series over a finite prime field, having a continued fraction expansion with partial quotients all of degree 1 were discovered by W. Mills and D. Robbins. In this note we show that these few examples belong to a very large family of continued fractions for certain algebraic power series over an arbitrary finite field of odd characteristic. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：259 / 284

页数：26

共 15 条

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