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Arithmetic properties of exceptional lattice paths
For a fixed real number \(\rho>0\), let \(L\) be an affine line of slope \(\rho^{-1}\) in \(\mathbb{R}^2\). We show that the closest approximation of \(L\) by a path \(P\) in \(\mathbb{Z}^2\) is unique, except in one case, up to integral translation. We study this exceptional case. For irrat...
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| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/901 |
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