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» Arithmetic Progressions in Sets with Small Sumsets
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JCSS
2008
87views more  JCSS 2008»
13 years 7 months ago
Finding large 3-free sets I: The small n case
There has been much work on the following question: given n, how large can a subset of {1, . . . , n} be that has no arithmetic progressions of length 3. We call such sets 3-free....
William I. Gasarch, James Glenn, Clyde P. Kruskal
FOCS
2009
IEEE
14 years 2 months ago
Linear Systems over Composite Moduli
We study solution sets to systems of generalized linear equations of the form ℓi(x1, x2, · · · , xn) ∈ Ai (mod m) where ℓ1, . . . , ℓt are linear forms in n Boolean var...
Arkadev Chattopadhyay, Avi Wigderson