Timeline for Is the sumset or the sumset of the square set always large?
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Sep 10, 2015 at 23:49 | comment | added | Brendan Murphy | Theorem 1.2 of Li and Roche-Newton's paper arxiv.org/pdf/1111.5159v1.pdf gives a slightly better lower bound of $|A|^{24/19}$. This result also gives the best lower bound on $|A+A|$ when $|AA|$ or $|S+S|$ is very small. | |
Sep 6, 2015 at 20:41 | comment | added | Terry Tao | This appears to be a special case of Corollary 3.2 of the Elekes-Nathanson-Ruzsa result linked in Boris's comment: ams.org/mathscinet-getitem?mr=1772612 | |
Sep 6, 2015 at 15:33 | history | edited | Mark Lewko | CC BY-SA 3.0 |
added 10 characters in body
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Sep 6, 2015 at 15:28 | history | answered | Mark Lewko | CC BY-SA 3.0 |