Bounds on arithmetic projections, and applications to the Kakeya conjecture

Mathematical Research Letters

Volumn 6, Issue 5-6, 1999, Pages 625-630

  Katz, Nets Hawk ^a   Tao, Terence ^b  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033235846     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/mrl.1999.v6.n6.a3     Document Type: Article

References (7)

1. [1] A. Balog and E. Szemerédi, A statistical theorem of set addition, Combinatorica, 14 (1994), 263-268.
2. [2] J. Bourgain, On the dimension of Kakeya sets and related maximal inequalities, preprint.
3. [3] T. Gowers, A new proof of Szemerédi's theorem for arithmetic progressions of length four, to appear in GAFA.
4. [4] D. Heath-Brown, Integer sets containing no arithmetic progressions, J. London Math. Soc. (2) 35 (1987), 385-394.
5. [5] I. Ruzsa, Sums of finite sets, Number Theory (New York, 1991-1995), pp. 281-293, Springer-Verlag, New York, 1996.
6. 3, submitted, Annals of Math.
7. [7] T.H. Wolff, An improved bound for Kakeya type maximal functions, Rev. Mat. Iberoamericana 11 (1995), 651-674.