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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| Format: | Article |
| Language: | English |
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Hindawi Limited
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000581 |