On the topology of polynomials with bounded integer coefficients

  • De-Jun Feng

    The Chinese University of Hong Kong, Shatin, Hong Kong, China

Abstract

For a real number and a positive integer , let

In this paper, we show that is dense in if and only if and is not a Pisot number. This completes several previous results and answers an open question raised by Erdős, Joó and Komornik [8].

Cite this article

De-Jun Feng, On the topology of polynomials with bounded integer coefficients. J. Eur. Math. Soc. 18 (2016), no. 1, pp. 181–193

DOI 10.4171/JEMS/587