有限域上的超越无界连分式展开

IF 0.3 Q4 MATHEMATICS Journal of the Indonesian Mathematical Society Pub Date : 2021-03-31 DOI:10.22342/JIMS.27.1.829.115-122

R. Ghorbel, H. Kthiri

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摘要

设Fq是一个有限域，Fq((X−1))是在Fq中有系数的形式幂级数的域。本文的目的是通过其部分商的一些特殊不规则性来证明有限域上形式幂级数的一类超越连分式

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A Transcendental Unbounded Continued Fraction Expansions over A Finite Field

Let Fq be a finite field and Fq((X−1 )) the field of formal power series with coefficients in Fq. The purpose of this paper is to exhibit a family of transcendental continued fractions of formal power series over a finite field through some specific irregularities of its partial quotients

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