A sum-product estimate in algebraic division algebras

Mei-Chu Chang

Type: Article

Publication Date: 2005-12-01

Citations: 16

DOI: https://doi.org/10.1007/bf02762388

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Locations

Israel Journal of Mathematics - View

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Works That Cite This (15)

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+ PDF Chat	Sum-product theorems in algebraic number fields	2009	Jean Bourgain Mei-Chu Chang
+	An application of kissing numbers in sum-product estimates	2017	József Solymosi Ching Wong
+	An improved sum-product bound for quaternions	2018	Abdul Basit Ben Lund
+ PDF Chat	An Improved Sum-Product Bound for Quaternions	2019	Abdul Basit Ben Lund
+ PDF Chat	Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition	2013	Khodakhast Bibak
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+	Sum-product estimates in finite fields	2006	Derrick Hart Alex Iosevich József Solymosi
+ PDF Chat	Fp is locally like ℂ	2014	Codruţ Grosu
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+	Sum-product Estimates in Finite Fields via Kloosterman Sums	2007	Derrick Hart Alex Iosevich József Solymosi

Works Cited by This (14)

Action	Title	Year	Authors
+	NUMBER THEORY WITH AN EMPHASIS ON THE MARKOFF SPECTRUM	1993	TD Wooley Trevor D. Wooley
+ 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	On sums and products of integers	1997	Melvyn B. Nathanson
+	Factorization in generalized arithmetic progressions and application to the Erd?s-Szemer�di sum-product problems	2003	Mei-Chu Chang
+ PDF Chat	A sum-product estimate in finite fields, and applications	2004	Jean Bourgain Nets Hawk Katz Terence Tao
+	Few sums, many products	2003	György Elekes Gy. Imre Z. Ruzsa
+ PDF Chat	On sums and products of distinct numbers	2004	Mei-Chu Chang
+ PDF Chat	The Erdős–Szeméredi problem on sum set and product set	2003	Mei-Chu Chang