Abstract
We discuss some easy statements dealing with linear inhomogeneous Diophantine approximation. Surprisingly, we did not find some of them in the literature. In particular, we prove a precise version of the Kronecker approximation theorem and a related result on coprime approximation.
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Notes
Ein Punkt \(\varvec{z} =(z_1,\ldots ,z_d)^\top \in {\mathbb {Z}}^d\) heißt primitiv, wenn die Gleichung \( \textrm{ggT } (z_1,\ldots ,z_d) =1\) gilt.
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Diese Arbeit wurde unterstützt durch RNF Grant No. 19-11-00001, https://rscf.ru/en/project/19-11-00001/.
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Moshchevitin, N. Einige Bemerkungen über inhomogene diophantische Approximationen. Arch. Math. 120, 159–169 (2023). https://doi.org/10.1007/s00013-022-01804-3
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DOI: https://doi.org/10.1007/s00013-022-01804-3