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Oct 20, 2011 at 11:27 comment added Ben Green For a long time it was a conjecture of Littlewood that the infimum is $o(\sqrt{x})$. Actually it was Konyagin who got down to $x^{-1/2 + o(1)}$.
Oct 20, 2011 at 11:26 history edited Ben Green CC BY-SA 3.0
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Oct 20, 2011 at 11:23 comment added Timothy Foo Thank you very much, Professor Green. It is really interesting that the infimum goes to zero as $x \rightarrow \infty$ for the case you described! I'll look at the paper. Thanks.
Oct 20, 2011 at 11:18 vote accept Timothy Foo
Oct 20, 2011 at 10:48 history answered Ben Green CC BY-SA 3.0