DISTRIBUTION OF THE APPROXIMATION EXPONENTS OF A FAMILY OF POWER SERIES OVER A FINITE FIELD

• Ayadi, Khalil (Universite de Sfax Faculte des Sciences Departement de Math ematiques) ;
• Elouaer, Iheb (Universite de Sfax Faculte des Sciences Departement de Math ematiques)
• Accepted : 2018.07.05
• Published : 2018.11.30

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.

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