| dc.contributor.author | Guth, Larry | |
| dc.contributor.author | Katz, Nets Hawk | |
| dc.contributor.author | Zahl, Joshua | |
| dc.date.accessioned | 2021-10-27T20:24:04Z | |
| dc.date.available | 2021-10-27T20:24:04Z | |
| dc.date.issued | 2020 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/135572 | |
| dc.description.abstract | <jats:title>Abstract</jats:title>
<jats:p>We give a new proof of the discretized ring theorem for sets of real numbers. As a special case, we show that if $A\subset \mathbb {R}$ is a $(\delta ,1/2)_1$-set in the sense of Katz and Tao, then either $A+A$ or $A.A$ must have measure at least $|A|^{1-\frac {1}{68}}$.</jats:p> | |
| dc.language.iso | en | |
| dc.publisher | Oxford University Press (OUP) | |
| dc.relation.isversionof | 10.1093/IMRN/RNZ360 | |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.source | arXiv | |
| dc.title | On the Discretized Sum-Product Problem | |
| dc.type | Article | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.relation.journal | International Mathematics Research Notices | |
| dc.eprint.version | Author's final manuscript | |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | |
| dc.date.updated | 2021-05-20T14:23:36Z | |
| dspace.orderedauthors | Guth, L; Katz, NH; Zahl, J | |
| dspace.date.submission | 2021-05-20T14:23:37Z | |
| mit.journal.volume | 2021 | |
| mit.journal.issue | 13 | |
| mit.license | OPEN_ACCESS_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
