A note on a problem of lattice points in a certain planar domain (Q1125415)
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scientific article; zbMATH DE number 1375156
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on a problem of lattice points in a certain planar domain |
scientific article; zbMATH DE number 1375156 |
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A note on a problem of lattice points in a certain planar domain (English)
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7 June 2000
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Let \(k> 2\), \(1\leq b\leq a\) and let \(R_k(a,b)\) denote the number of lattice points in the domain \(|\frac xa|^k+ |\frac yb|^k\leq 1\). The author gives upper and lower bounds for the remainder in the asymptotic expansion and \(R_k(a,b)\), but no proof is given.
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lattice points in large regions
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Lamé's curves
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