Geodesic
A Transcendence Criteria for Continued Fraction Expansions in Positive Characteristic
Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 237 .

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We exhibit a family of transcendental continued fractions of formal power series over a finite field through some specific irregularities of its partial quotients.
DOI : 10.2298/PIM141206001A
Classification : 11A55, 11J81
Keywords: continued fraction, formal power series, transcendence 
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     title = {A {Transcendence} {Criteria} for {Continued} {Fraction} {Expansions} in {Positive} {Characteristic}},
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Basma Ammous; Sana Driss; Mohamed Hbaib. A Transcendence Criteria for Continued Fraction Expansions in Positive Characteristic. Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 237 . doi : 10.2298/PIM141206001A. http://geodesic.mathdoc.fr/articles/10.2298/PIM141206001A/

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