Green's sumset problem at density one half

Details Green's sumset problem at density one half Green's sumset problem at density one half

2010-03-29

arxiv.org/abs/1003.5649v2

Acta Arith. 146 (2011), no. 1, 91-101

Mathematics

Number Theory

10 pp. Corrected typos

Scientific paper

10.4064/aa146-1-6

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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