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

• Autorzy: Hachem Hichri
• Języki publikacji: EN

Abstrakty

EN

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 θ we can construct a sequence of Salem numbers which converge to θ. In this short note, we give some results on the beta expansion for infinitely many sequences of Salem numbers obtained by this construction.

Kategorie tematyczne

• 11K16: Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
• 11Y99: None of the above, but in this section
• 11R06: PV-numbers and generalizations; other special algebraic numbers; Mahler measure

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 168
• Numer: 2
• Strony: 107-119

Daty

wydano

2015

Twórcy

autor

Hachem Hichri

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

Identyfikatory

DOI

10.4064/aa168-2-2