The Coven–Meyerowitz tiling conditions for 3 odd prime factors
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00222-022-01169-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7440 |
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oai:localhost:PNK-74402023-04-03T07:40:54Z The Coven–Meyerowitz tiling conditions for 3 odd prime factors Izabella, Łaba Itay, Londner set A⊂Z tiles factorization A⊕B=ZM CC BY It 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. 2023-04-03T07:40:54Z 2023-04-03T07:40:54Z 2022 Book https://link.springer.com/article/10.1007/s00222-022-01169-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7440 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
set A⊂Z tiles factorization A⊕B=ZM |
| spellingShingle |
set A⊂Z tiles factorization A⊕B=ZM Izabella, Łaba Itay, Londner The Coven–Meyerowitz tiling conditions for 3 odd prime factors |
| description |
CC BY |
| format |
Book |
| author |
Izabella, Łaba Itay, Londner |
| author_facet |
Izabella, Łaba Itay, Londner |
| author_sort |
Izabella, Łaba |
| title |
The Coven–Meyerowitz tiling conditions for 3 odd prime factors |
| title_short |
The Coven–Meyerowitz tiling conditions for 3 odd prime factors |
| title_full |
The Coven–Meyerowitz tiling conditions for 3 odd prime factors |
| title_fullStr |
The Coven–Meyerowitz tiling conditions for 3 odd prime factors |
| title_full_unstemmed |
The Coven–Meyerowitz tiling conditions for 3 odd prime factors |
| title_sort |
coven–meyerowitz tiling conditions for 3 odd prime factors |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00222-022-01169-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7440 |
| _version_ |
1762184304015704064 |
| score |
8.893527 |