EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 98(112), pp. 237–242 (2015)

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A transcendence criteria for continued fraction expansions in positive characteristic

Basma Ammous, Sana Driss, Mohamed Hbaib

Department of Mathematics, Faculty of Sciences, Sfax, Tunisia

Abstract: We exhibit a family of transcendental continued fractions of formal power series over a finite field through some specific irregularities of its partial quotients.

Keywords: continued fraction; formal power series; transcendence

Classification (MSC2000): 11A55; 11J81

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Electronic fulltext finalized on: 18 Nov 2015. This page was last modified: 6 Jan 2016.

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