Abstract
Abstract
We show that for a Salem number
$\beta $
of degree d, there exists a positive constant
$c(d)$
where
$\beta ^m$
is a Parry number for integers m of natural density
$\ge c(d)$
. Further, we show
$c(6)>1/2$
and discuss a relation to the discretized rotation in dimension
$4$
.
Funder
Japan Society for the Promotion of Science
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Cited by
1 articles.
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