Arithmetical properties of real numbers related to beta-expansions
Arithmetical properties of real numbers related to beta-expansions
The main purpose of this paper is to study the arithmetical properties of values m) , where β is a fixed Pisot or Salem number and w(m) (m = 0, 1, . ..) are distinct sequences of nonnegative integers with w(m + 1) > w(m) for any sufficiently large m.We …