Arithmetics on beta-expansions with Pisot bases over
R Ghorbel, M Hbaib, S Zouari - Bulletin of the Belgian …, 2014 - projecteuclid.org
In this paper we consider finite $\beta $-expansions in the field of formal series with Pisot
basis $\beta $. We are studying the arithmetic operations on $\beta $-expansions and …
basis $\beta $. We are studying the arithmetic operations on $\beta $-expansions and …
[PDF][PDF] Arithmetics of β− expansions in Fq ((x−))
S Zouaria - Filomat, 2024 - pmf.ni.ac.rs
The aim of this study is to give some arithmetic properties on the set of β-polynomials in Fq
((x− 1)) ie the set of series whose β-expansion has not fractional part, where| β|> 1 is an …
((x− 1)) ie the set of series whose β-expansion has not fractional part, where| β|> 1 is an …
Continued -fractions with formal power series over finite fields
M Hbaib, R Kammoun - The Ramanujan Journal, 2016 - Springer
Let β β be a unit Pisot quadratic series over a finite field F _ q F q. We define and study a
continued β β-fraction algorithm, inspired by Euclid's algorithm. We show that any element of …
continued β β-fraction algorithm, inspired by Euclid's algorithm. We show that any element of …
[PDF][PDF] Palindrome words on the Arnoux-Rauzy sequences
T Sellami - Int. J. Open Problems Compt. Math, 2017 - i-csrs.org
Palindrome words on the Arnoux-Rauzy sequences 1 Introduction Page 1 Int. J. Open
Problems Compt. Math., Vol. 10, No. 3, November 2017 ISSN 1998-6262; Copyright c …
Problems Compt. Math., Vol. 10, No. 3, November 2017 ISSN 1998-6262; Copyright c …
[PDF][PDF] M. Hbaib & R. Kammoun
J Ramanujan - researchgate.net
Let β be a unit Pisot quadratic series over a finite field Fq. We define and study a continued β-
fraction algorithm, inspired by Euclid's algorithm. We show that any element of Fq (x, β) has …
fraction algorithm, inspired by Euclid's algorithm. We show that any element of Fq (x, β) has …