I. Kátai
56284657300
Publications - 1
On the set for which 1 is univoque
Publication Name: Publicationes Mathematicae Debrecen
Publication Date: 2001-01-01
Volume: 58
Issue: 4
Page Range: 743-750
Description:
For some integer K ≥ 2 let εK be the set of those ⊖ ∈ (1/K + 1, 1/K ), for which 1 has only one expansion 1 = e1 ⊖ + e2 ⊖2 + . . . with digits ej ∈ {0, . . . , K}, (j =1, 2, . . . ). In this paper we prove, that the Lebesgue measure of the set εK is 0.
Open Access: Yes
