Geodesic
Beta expansion of Salem numbers approaching Pisot numbers with the finiteness property
Hachem Hichri1
1 Institut préparatoire aux études d'ingénieur de Monastir Université de Monastir 5019 Monastir, Tunisia
Acta Arithmetica, Tome 168 (2015) no. 2, pp. 107-119.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is already known that all Pisot numbers are beta numbers, but for Salem numbers this was proved just for the degree 4 case. In 1945, R. Salem showed that for any Pisot number $\theta $ we can construct a sequence of Salem numbers which converge to $\theta $. In this short note, we give some results on the beta expansion for infinitely many sequences of Salem numbers obtained by this construction.
DOI : 10.4064/aa168-2-2
Keywords: already known pisot numbers beta numbers salem numbers proved just degree salem showed pisot number theta construct sequence salem numbers which converge theta short note results beta expansion infinitely many sequences salem numbers obtained construction

Hachem Hichri 1

1 Institut préparatoire aux études d'ingénieur de Monastir Université de Monastir 5019 Monastir, Tunisia 
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 approaching {Pisot} numbers with the finiteness property},
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 approaching Pisot numbers with the finiteness property
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 approaching Pisot numbers with the finiteness property
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Hachem Hichri. Beta expansion of Salem numbers
 approaching Pisot numbers with the finiteness property. Acta Arithmetica, Tome 168 (2015) no. 2, pp. 107-119. doi : 10.4064/aa168-2-2. http://geodesic.mathdoc.fr/articles/10.4064/aa168-2-2/

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