A Transcendence Criteria for Continued Fraction Expansions in Positive Characteristic
Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 237
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We exhibit a family of transcendental continued fractions of formal power series over a finite field through some specific irregularities of its partial quotients.
Classification :
11A55, 11J81
Keywords: continued fraction, formal power series, transcendence
Keywords: continued fraction, formal power series, transcendence
@article{10_2298_PIM141206001A,
author = {Basma Ammous and Sana Driss and Mohamed Hbaib},
title = {A {Transcendence} {Criteria} for {Continued} {Fraction} {Expansions} in {Positive} {Characteristic}},
journal = {Publications de l'Institut Math\'ematique},
pages = {237 },
publisher = {mathdoc},
volume = {_N_S_98},
number = {112},
year = {2015},
doi = {10.2298/PIM141206001A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM141206001A/}
}
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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
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