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2004-01-20
k-term Arithmetic Progressions in Sumsets
Ernie Croot
文献摘要
In this paper we give a very elementary proof that if A and B are subsets of {1,2,…,N}, each having at least 5N^{1 - (4(k-1))^{-1}} elements, then the sumset A+B has a k-term arithmetic progression.
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