Fourier analysis and expanding phenomena in finite fields

Derrick Hart, Liangpan Li, Chun‐Yen Shen

Type: Article

Publication Date: 2012-06-19

Citations: 25

DOI: https://doi.org/10.1090/s0002-9939-2012-11338-3

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Locations

arXiv (Cornell University) - View - PDF
Proceedings of the American Mathematical Society - View

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Works Cited by This (38)

Action	Title	Year	Authors
+	On Explicit Ramsey Graphs and Estimates of the Number of Sums and Products	2007	Pavel Pudlák
+ PDF Chat	On sums and products of integers	1983	Péter L. Erdős Endre Szemerédi
+ PDF Chat	On the number of sums and products	1997	György Elekes
+	Sums and Products from a Finite Set of Real Numbers	1998	Kevin Ford
+ PDF Chat	Additive properties of product sets in fields of prime order	2007	A. Glibichuk Sergeĭ Konyagin
+ PDF Chat	On sums and products of integers	1997	Melvyn B. Nathanson
+ PDF Chat	On the size of $k$-fold sum and product sets of integers	2003	Jean Bourgain Mei-Chu Chang
+	On a variant of sum-product estimates and explicit exponential sum bounds in prime fields	2008	Jean Bourgain M. Z. Garaev
+ PDF Chat	An extension of Bourgain and Garaev's sum-product estimates	2008	Chun‐Yen Shen
+ PDF Chat	A sum-division estimate of reals	2010	Liangpan Li Jian Shen