ON HIGHER DIMENSIONAL ARITHMETIC PROGRESSIONS IN MEYER SETS
نویسندگان
چکیده
Abstract In this paper we study the existence of higher dimensional arithmetic progressions in Meyer sets. We show that case when ratios are linearly dependent over ${\mathbb Z}$ is trivial and focus on for which independent. Given a set $\Lambda $ fully Euclidean model with property finitely many translates cover , prove can find arbitrary length k independent if only at most rank -module generated by . use result to characterize sets subsets
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ژورنال
عنوان ژورنال: Journal of The Australian Mathematical Society
سال: 2021
ISSN: ['1446-8107', '1446-7887']
DOI: https://doi.org/10.1017/s1446788721000215