Combinatorial structure and sumsets associated with Beatty sequences generated by powers of the golden ratio
Let $ \alpha $ be the golden ratio, $ m\in \mathbb N $, and $ B(\alpha^m) $ the Beatty sequence (or Beatty set) generated by $ \alpha^m $. In this article, we give some combinatorial structures of $ B(\alpha^m) $ and use them in the study of associated sumsets. In particular, we obtain, for each $ m...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-04-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022121?viewType=HTML |