Short proofs of theorems of Lekkerkerker and Ballieu

For any irrational number ξ let A(ξ) denote the set of all accumulation points of {z:z=q(qξ−p),   p∈ℤ,   q∈ℤ−{0},   p   and   q   relatively prime}. In this paper the following theorem of Lekkerkerker is proved in a short and elementary way: The set A(ξ) is discrete and does not contain zero if and...

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Detalles Bibliográficos
Autor principal: Max Riederle
Formato: Artículo
Lenguaje:English
Publicado: Hindawi Limited 1982-01-01
Colección:International Journal of Mathematics and Mathematical Sciences
Acceso en línea:http://dx.doi.org/10.1155/S0161171282000581