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dc.contributor.authorIzabella, Łaba-
dc.contributor.authorItay, Londner-
dc.date.accessioned2023-04-03T07:40:54Z-
dc.date.available2023-04-03T07:40:54Z-
dc.date.issued2022-
dc.identifier.urihttps://link.springer.com/article/10.1007/s00222-022-01169-y-
dc.identifier.urihttps://dlib.phenikaa-uni.edu.vn/handle/PNK/7440-
dc.descriptionCC BYvi
dc.description.abstractIt is well known that if a finite set A⊂Z tiles the integers by translations, then the translation set must be periodic, so that the tiling is equivalent to a factorization A⊕B=ZM of a finite cyclic group. We are interested in characterizing all finite sets A⊂Z that have this property. Coven and Meyerowitz (J Algebra 212:161–174, 1999) proposed conditions (T1), (T2) that are sufficient for A to tile, and necessary when the cardinality of A has at most two distinct prime factors. They also proved that (T1) holds for all finite tiles, regardless of size.vi
dc.language.isoenvi
dc.publisherSpringervi
dc.subjectset A⊂Z tilesvi
dc.subjectfactorization A⊕B=ZMvi
dc.titleThe Coven–Meyerowitz tiling conditions for 3 odd prime factorsvi
dc.typeBookvi
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