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On arithmetic progressions in self-similar sets
[article]

Kan Jiang, Qiyang Pei, Lifeng Xi

2019
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arXiv
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pre-print

Given *a* sequence {b_i}_i=1^n and *a* ratio λ∈ (0,1), let E=∪_i=1^n(λ E+b_i) be *a* homogeneous self-similar set. In this paper, we study the existence and maximal length *of* arithmetic progressions in E. ...
Acknowledgements The work is supported by National Natural Science Foundation *of* China (Nos. 11831007, 11771226, 11701302, 11371329, 11471124, 11671147). The work is also supported by K.C. ...
Therefore, he obtained *a* new *proof* *of* Szemerédi's theorem, for *a* survey *of* this topic, see [21] . It is natural to investigate to *a* subset *of* natural numbers which is *of* zero density. ...

arXiv:1901.06673v1
fatcat:33rbz5y3hbfc5az3pqtwhv3svu