A new bound on partial sum-sets and difference-sets, and applications to the Kakeya conjecture

Nets Hawk Katz, Terence Tao

Type: Preprint

Publication Date: 1999-01-01

Citations: 5

DOI: https://doi.org/10.48550/arxiv.math/9906097

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arXiv (Cornell University) - View
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arXiv (Cornell University) - View
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arXiv (Cornell University) - View
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+	Pattern Problems related to the Arithmetic Kakeya Conjecture	2020	Charlie Cowen-Breen Elene Karangozishvili Narmada Varadarajan Thomas J. Wang
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+	Rough Structure and Classification	2010	W. T. Gowers
+	Massively-Parallel Similarity Join, Edge-Isoperimetry, and Distance Correlations on the Hypercube	2017	Paul Beame Cyrus Rashtchian

Works Cited by This (6)

Action	Title	Year	Authors
+ PDF	An improved bound for Kakeya type maximal functions	1995	Thomas Wolff
+	Integer Sets Containing No Arithmetic Progressions	1987	D. R. Heath‐Brown
+	A statistical theorem of set addition	1994	Antal Balog Endre Szemer�di
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+ PDF Chat	An Improved Bound on the Minkowski Dimension of Besicovitch Sets in ℝ 3	2000	Nets Hawk Katz Izabella Łaba Terence Tao
+	A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four	1998	W. T. Gowers