On additive doubling and energy

Details On additive doubling and energy On additive doubling and energy

2008-02-29

arxiv.org/abs/0802.4371v1

Mathematics

Combinatorics

12 pages

Scientific paper

We show that if A is a set having small subtractive doubling in an abelian
group, that is |A-A|< K|A|, then there is a polynomially large subset B of A-A
so that the additive energy of B is large than (1/K)^{1 - \epsilon) where
epsilon is a positive, universal exponent. (1/37 seems to suffice.)

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