The sum-product phenomenon in arbitrary rings

Terence Tao

Type: Article

Publication Date: 2009-12-10

Citations: 37

DOI: https://doi.org/10.11575/cdm.v4i2.61994

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Locations

Contributions to Discrete Mathematics - View
Contributions to Discrete Mathematics - View

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Works That Cite This (37)

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+ PDF	A Szemerédi–Trotter type theorem, sum-product estimates in finite quasifields, and related results	2016	Thang Pham Michael Tait Craig Timmons Lê Anh Vinh
+	Sum–product phenomena for planar hypercomplex numbers	2020	Matthew Hase-Liu Adam Sheffer
+ PDF	On New Sum-Product--Type Estimates	2013	Sergeĭ Konyagin Misha Rudnev
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+	A Szemer\'edi-Trotter type theorem, sum-product estimates in finite quasifields, and related results	2015	Thang Pham Michael Tait Craig Timmons Lê Anh Vinh
+	Sum-Product Type Estimates for Subsets of Finite Valuation Rings	2017	Esen Aksoy Yazici
+ PDF Chat	Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition	2013	Khodakhast Bibak
+ PDF Chat	Sums and products with smooth numbers	2011	William D. Banks David Covert
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Works Cited by This (45)

Action	Title	Year	Authors
+ PDF	Borel subrings of the reals	2002	Gerald A. Edgar Chris Miller
+	Sums of Finite Sets	1996	Imre Z. Ruzsa
+	Garaev's Inequality in finite fields not of prime order	2007	Nets Hawk Katz Chun‐Yen Shen
+	Sum and product of different sets	2006	Mei-Chu Chang
+ PDF	On sums and products of integers	1983	Péter L. Erdős Endre Szemerédi
+ PDF	On the number of sums and products	1997	György Elekes
+	Sums and Products from a Finite Set of Real Numbers	1998	Kevin Ford
+	Pinned distance sets, Wolff's exponent in finite fields and improved sum-product estimates	2007	Derrick Hart Alex Iosevich
+	Mordell’s exponential sum estimate revisited	2005	Jean Bourgain
+	On sums and products of integers	1999	Yong-Gao Chen