On The Geometric Continued Fractions in Positive Characteristic

Sana Driss; Hassen Kthiri

doi:10.22342/jims.25.2.525.139-145

Sana Driss ⁽¹⁾ , Hassen Kthiri ⁽²⁾

(1) Faculty of Sciences of Sfax, Tunisia,

(2) Faculty of Sciences of Sfax, Tunisia

https://doi.org/10.22342/jims.25.2.525.139-145

Issue
Volume 25 Number 2 (July 2019)

Submitted
June 13, 2017

Accepted
April 10, 2018

Published
July 10, 2019

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Abstract

In this paper we study another form in the field of formal power series over a finite field. If the continued fraction of a formal power seriesin $\mathbb{F}_q((X^{-1}))$ begins with sufficiently largegeometric blocks, then $f$ is transcendental.

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Authors

Sana Driss

Faculty of Sciences of Sfax

Hassen Kthiri

Faculty of Sciences of Sfax

hassenkthiri@gmail.com (Primary Contact)

Driss, S., & Kthiri, H. (2019). On The Geometric Continued Fractions in Positive Characteristic. Journal of the Indonesian Mathematical Society, 25(2), 139–145. https://doi.org/10.22342/jims.25.2.525.139-145