A property of algebraic univoque numbers

Details A property of algebraic univoque numbers A property of algebraic univoque numbers

2006-12-20

arxiv.org/abs/math/0612603v2

Mathematics

Number Theory

5 pages, journal version, to appear in Acta Math. Hungar

Scientific paper

Consider the set $\uu$ of real numbers $q \ge 1$ for which only one sequence
$(c_i)$ of integers $0 \le c_i \le q$ satisfies the equality
$\sum_{i=1}^{\infty} c_i q^{-i} = 1$. In this note we show that the set of
algebraic numbers in $\uu$ is dense in the closure $\uuu$ of $\uu$.

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