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Results tagged with sumsets
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user 806
13
votes
Sumsets and dilates: does $|A+\lambda A|<|A+A|$ ever hold?
It is false. Let $\lambda$ be any integer other than $0$ and $\pm 1$. First, I will construct an example mod $p$ for every large prime $p$, which will then be upgraded to $\mathbb{Z}$ by taking Cartes …
- 7,826
6
votes
Accepted
Is the sumset or the sumset of the square set always large?
A more general result than what you want appears as Theorem 1 in http://arxiv.org/pdf/1002.2554. (A slightly weaker result had appeared before as Theorem 3.1 in http://arxiv.org/pdf/0909.5471).
Curio …
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