Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2018; 55(6): 1811-1822

Online first article September 5, 2018      Printed November 30, 2018

https://doi.org/10.4134/BKMS.b171094

Copyright © The Korean Mathematical Society.

Distribution of the approximation exponents of a family of power series over a finite field

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