PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Beta expansion of Salem numbers approaching Pisot numbers with the finiteness property

Volume 168 / 2015

Hachem Hichri Acta Arithmetica 168 (2015), 107-119 MSC: Primary 11R06, 11K16; Secondary 11Y99. DOI: 10.4064/aa168-2-2


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.


  • Hachem HichriInstitut préparatoire aux études d'ingénieur de Monastir
    Université de Monastir
    5019 Monastir, Tunisia

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image