Affiliation:
1. Departement de Mathematiques (UR11ES50), Faculté des sciences de Monastir, Université de Monastir, Monastir 5019, Tunisia
Abstract
In this paper, we construct some families of polynomials defining Salem numbers which approach integer numbers and we give some results on their beta expansion. As a consequence we obtain in a simple way, for any integer number q ≥ 2, many sequences of Salem numbers which are beta numbers and converge to q from both sides.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
2 articles.
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1. Periodic expansion of one by Salem numbers;Ergodic Theory and Dynamical Systems;2022-10-14
2. Seventy years of Salem numbers;Bulletin of the London Mathematical Society;2015-05-18