Lattice points on hyperbolas (Q1355087)
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scientific article; zbMATH DE number 1011053
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice points on hyperbolas |
scientific article; zbMATH DE number 1011053 |
Statements
Lattice points on hyperbolas (English)
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8 December 1997
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Let \(N\neq 0\) be an integer and \(d>1\) be a square-free integer. Then the hyperbola \(x^2- dy^2 =N\) contains either zero or infinitely many lattice points. In the paper, an estimate for the number of lattice points on an arc of small length is given.
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lattice points on curves
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hyperbola
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arc of small length
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