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arXiv · 1003.5649

Green's sumset problem at density one half

Tom Sanders
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Abstract

We investigate the size of subspaces in sumsets and show two main results. First, if A is a subset of F_2^n with density at least 1/2 - o(n^{-1/2}) then A+A contains a subspace of co-dimension 1. Secondly, if A is a subset of F_2^n with density at least 1/2-o(1) then A+A contains a subspace of co-dimension o(n).

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Tom Sanders. 2010-12-02. Green's sumset problem at density one half. https://doi.org/10.4064/aa146-1-6

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