110 research outputs found
On the topology of sums in powers of an algebraic number
Let and It is well known that if is not a root of a polynomial with
coefficients , then is dense in . We give
several sufficient conditions for the denseness of when is a
root of such a polynomial. In particular, we prove that if is not a Perron
number or it has a conjugate such that , then
is dense in .Comment: 10 pages, no figure
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