Flat power series over a finite field

被引：8
作者：
Lasjaunias, A [1 ]
Ruch, JJ
机构：
[1] Univ Bordeaux 1, Lab A2X, F-33405 Talence, France
[2] Univ Bordeaux 1, CNRS, UMR 5465, F-33405 Talence, France
来源：
JOURNAL OF NUMBER THEORY | 2002年 / 95卷 / 02期
关键词：
fields of power series; finite fields; continued fractions;
D O I：
10.1006/jnth.2001.2764
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define and describe a class of algebraic continued fractions for power series over a finite field These continued fraction expansions, for which all the partial quotients are polynomials of degree one. have a regular pattern induced by the Frobenius homomorphism. This is an extension, in the case of positive characteristic, of purely periodic expansions corresponding to quadratic power series, (C) 2002 Elsevier Science (USA).
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页码：268 / 288
页数：21
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