Pinned distance sets, k-simplices, Wolff’s exponent in finite fields and sum-product estimates-Reference-Cited by-同舟云学术

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Pinned distance sets, k-simplices, Wolff’s exponent in finite fields and sum-product estimates

Published:2011-03-22 Issue:1-2 Volume:271 Page:63-93
ISSN:0025-5874
Container-title:Mathematische Zeitschrift
language:en
Short-container-title:Math. Z.

Author:

Chapman Jeremy,Erdoğan M. Burak,Hart Derrick,Iosevich Alex,Koh Doowon

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00209-011-0852-4.pdf

Reference32 articles.

1. Agarwal P., Sharir M.: The number of congruent simplexes in a point set. Discrete Comput. Geom. 28, 123–150 (2002)

2. Agarwal, P.K., Apfelbaum, R., Purdy, G., Sharir, M.: Similar simplices in d-dimensional point set. Computational geometry (SCG’07), pp. 232–238. ACM, New York (2007)

3. Bourgain J.: Mordell’s exponential sum estimate revisited. J. Am. Math. Soc. 18(2), 477–499 (2005)

4. Bourgain J., Glibichuk A., Konyagin S.: Estimates for the number of sums and products for exponentials sums in fields of prime order. J. Lond. Math. Soc. 73, 380–398 (2006)

5. Bourgain J., Katz N., Tao T.: A sum-product estimate in finite fields, and applications. Geom. Funct. Anal. 14, 27–57 (2004)

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