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Results tagged with additive-combinatorics
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user 50282
Questions on the subject additive combinatorics, also known as arithmetic combinatorics, such as questions on: additive bases, sum sets, inverse sum set theorems, sets with small doubling, Sidon sets, Szemerédi's theorem and its ramifications, Gowers uniformity norms, etc. Often combined with the top-level tags nt.number-theory or co.combinatorics. Some additional tags are available for further specialization, including the tags sumsets and sidon-sets.
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Large sets $X \subseteq \mathbb{Z}_2^n$ with $X+X \ne \mathbb{Z}_2^n$
Niveau sets fit your description: Theorem 9.4 in http://arxiv.org/abs/math/0409420 is a construction of a set $X\subseteq \mathbb Z_2^n$ having |X| approximately $\frac{1}{4}2^n$ and $X+X$ does not co …
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