k-term Arithmetic Progressions in Sumsets

Details k-term Arithmetic Progressions in Sumsets k-term Arithmetic Progressions in Sumsets

2004-01-20

arxiv.org/abs/math/0401262v1

Mathematics

Number Theory

Scientific paper

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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