Transcendental continued β-fraction with quadratic pisot basis over Fq((x-1)) | Zendy

Marwa Gouadri | Zendy; Mohamed Hbaib | Zendy

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Transcendental continued β-fraction with quadratic pisot basis over Fq((x-1))

Author(s) -

Marwa Gouadri,

Mohamed Hbaib

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1914585g

Subject(s) - mathematics , transcendental number , formal power series , fraction (chemistry) , quadratic equation , field (mathematics) , power series , pure mathematics , element (criminal law) , series (stratigraphy) , discrete mathematics , combinatorics , mathematical analysis , law , geometry , paleontology , chemistry , organic chemistry , political science , biology

Let Fq be a finite field and Fq((x-1)) is the field of formal power series with coefficients in Fq. Let ??Fq((x-1)) be a quadratic Pisot series with deg(?) = 2. We establish a transcendence criterion depending on the continued ?-fraction of one element of Fq((x-1)).

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