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11 votes
Accepted

A sumset inequality

The proposed inequality is not true. I do not claim originality for this example: all I have done is take Seva's observation that the inequality would imply an improvement $|3A|\leq K^2|A|$ given $|2A …
Sean Eberhard's user avatar
5 votes
Accepted

Partition regular systems: do they have solution in (very dense) set of integers?

This doesn't have anything to do with partition regularity: There is such a constant $C(A)<1$ provided only that there exists at least one solution to $Ax=0$ in positive integers. Indeed suppose $x = …
Sean Eberhard's user avatar