A Transcendental Unbounded Continued Fraction Expansions over A Finite Field

Rima Ghorbel, Hassen Kthiri


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


Continued fraction, formal power series, transcendence, finite fields.

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DOI: https://doi.org/10.22342/jims.27.1.829.115-122


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