Beta expansion of Salem numbers approaching Pisot numbers with the finiteness property
Hachem Hichri · Acta Arithmetica · 2015
It is already known that all Pisot numbers are beta numbers, but for Salem numbers this was proved just for the degree 4 case. In 1945, R. Salem showed that for any Pisot number $\theta $ we can construct a sequence of Salem numbers which converge to $\th