On the topology of polynomials with bounded integer coefficients

Details On the topology of polynomials with bounded integer coefficients On the topology of polynomials with bounded integer coefficients

2011-09-07

arxiv.org/abs/1109.1407v2

Mathematics

Number Theory

Scientific paper

For a real number $q>1$ and a positive integer $m$, let
$Y_m(q):={\sum_{i=0}^n\epsilon_i q^i:\; \epsilon_i\in \{0, \pm 1,..., \pm m\},
n=0, 1,...}.$ In this paper, we show that $Y_m(q)$ is dense in $\R$ if and only
if $qresults and answers an open question raised by Erd\"{o}s, Jo\'{o} and Komornik.

Affiliated with

Also associated with

No associations

Rating

On the topology of polynomials with bounded integer coefficients does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the topology of polynomials with bounded integer coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the topology of polynomials with bounded integer coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-306068