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May 30, 2016 at 13:47 comment added Thomas Bloom You may also be interested in this paper by Schoen and Shkredov, where they study such higher moments of convolutions quite extensively, obtaining many interesting results: arxiv.org/abs/1110.2986
May 21, 2016 at 12:29 answer added Pablo Shmerkin timeline score: 2
May 19, 2016 at 14:18 history edited Pablo Shmerkin CC BY-SA 3.0
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May 17, 2016 at 14:30 history asked Pablo Shmerkin CC BY-SA 3.0