On the arithmetic Kakeya conjecture of Katz and Tao-Reference-Cited by-同舟云学术

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On the arithmetic Kakeya conjecture of Katz and Tao

Published:2018-11-02 Issue:2 Volume:78 Page:135-151
ISSN:0031-5303
Container-title:Periodica Mathematica Hungarica
language:en
Short-container-title:Period Math Hung

Author:

Green Ben^ORCID,Ruzsa Imre Z.

Funder

Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10998-018-0270-z.pdf

Reference22 articles.

1. N. Alon, Y. Peres, Uniform dilations. Geom Funct Anal 2(1), 1–28 (1992)

2. Lecture notes in mathematics;J Bourgain,1991

3. J. Bourgain, On the distribution of Dirichlet sums. J Anal Math 60, 21–32 (1993)

4. J. Bourgain, On the dimension of Kakeya sets and related maximal inequalities. Geom Funct Anal 9(2), 256–282 (1999)

5. Z. Dvir, On the size of Kakeya sets in finite fields. J Am Math Soc 22(4), 1093–1097 (2009)

Cited by 3 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. Improved bounds for the Kakeya maximal conjecture in higher dimensions;American Journal of Mathematics;2022-12

2. Linear Hashing with ℓ_∞ guarantees and two-sided Kakeya bounds;2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS);2022-10

3. Bourgain’s work in Fourier restriction;Bulletin of the American Mathematical Society;2021-01-27

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