Distribution of the approximation exponents of a family of power series over a finite field
Bull. Korean Math. Soc. 2018 Vol. 55, No. 6, 1811-1822
https://doi.org/10.4134/BKMS.b171094
Published online November 30, 2018
Khalil Ayadi, Iheb Elouaer
Universite de Sfax, Universite de Sfax
Abstract : In this paper, we exhibit the explicit forms of continued fraction expansions of a family of algebraic power series over a finite field and we study their asymptotic distribution of approximation exponents.
Keywords : finite fields, formal power series, continued fraction
MSC numbers : 11J61, 11J70
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