On the set for which 1 is univoque
I. Kátai, Gábor Kallós · Publicationes Mathematicae Debrecen · 2001
For some integer K ≥ 2 let E K be the set of those Θ ∈for which 1 has only one expansion 1 = e 1 Θ + e 2 Θ 2 + . . .with digits e j ∈ {0, . . ., K}, (j = 1, 2, . . .).In this paper we prove, that the Lebesgue measure of the set E K is 0.