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Diophantine approximation for the cubic root of polynomials of $\mathbb{F}_{2}[X]$

Khalil Ayadi ; Département de mathématiques, Faculté des sciences, Université de Sfax, Sfax, Tunisie
Mohamed Hbaib ; Département de mathématiques, Faculté des sciences, Université de Sfax, Sfax, Tunisie
Faiza Mahjoub ; Département de mathématiques, Faculté des sciences, Université de Sfax, Sfax, Tunisie


Puni tekst: engleski pdf 280 Kb

str. 613-627

preuzimanja: 744

citiraj


Sažetak

In this paper, with different approaches we study rational
approximation for the algebraic {formal power series} in
$\mathbb{F}_{2}((X^{-1}))$ solving the irreducible equation
\[\alpha^{3}=R,\]
where $R$ is a polynomial of $\mathbb{F}_{2}[X]$.
Moreover, for some polynomials $R$, we give explicitly the
continued fraction expansion of the root of this equation.

Ključne riječi

finite field; formal power series; continued fraction expansion

Hrčak ID:

93295

URI

https://hrcak.srce.hr/93295

Datum izdavanja:

5.12.2012.

Posjeta: 1.208 *