A Dynamical Point of View on the Set ofℬ-Free Integers-Reference-Cited by-同舟云学术

A Dynamical Point of View on the Set ofℬ-Free Integers

Published:2014-09-29 Issue:16 Volume:2015 Page:7258-7286
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:Int Math Res Notices

Author:

El Abdalaoui El Houcein,Lemańczyk Mariusz,de la Rue Thierry

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2015/16/7258/2232386/rnu164.pdf

Reference14 articles.

1. Alkan E. Zaharescu A. “A survey on the distribution of $B$ -free numbers” Turkish Journal of Mathematics 30, no. 3 (2006): 293–308.

2. Apostol Tom M. Introduction to Analytic Number Theory. New York-Heidelberg: Springer, 1976.

3. Ergodic properties of square-free numbers

4. Chowla S. The Riemann Hypothesis and Hilbert's Tenth Problem. Mathematics and its Applications 4. New York: Gordon and Breach Science Publishers, 1965.

5. Dietmann R. Marmon O. “The density of twins of $k$ -free numbers” (2013): preprint. arXiv:1307.2481.

Cited by 33 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Why do (weak) Meyer sets diffract?;Letters in Mathematical Physics;2023-05-05

2. Weakly tame systems, their characterizations and applications;Monatshefte für Mathematik;2023-05-03

3. Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I;Acta Arithmetica;2023

4. Minimality of $ \mathfrak{B} $-free systems in number fields;Discrete and Continuous Dynamical Systems;2023

5. Squarefrees are Gaussian in short intervals;Journal für die reine und angewandte Mathematik (Crelles Journal);2022-12-06