Roth's theorem in the primes
| dc.creator | Green, Ben | |
| dc.date | 2003-02-25 | |
| dc.date | 2004-09-07 | |
| dc.date.accessioned | 2026-07-07T04:55:35Z | |
| dc.date.available | 2026-07-07T04:55:35Z | |
| dc.description | We show that any set containing a positive proportion of the primes contains a 3-term arithmetic progression. An important ingredient is a proof that the primes enjoy the so-called Hardy-Littlewood majorant property. We derive this by giving a new proof of a rather more general result of Bourgain which, because of a close analogy with a classical argument of Tomas and Stein from Euclidean harmonic analysis, might be called a restriction theorem for the primes. | |
| dc.description | 23 pages. Updated references and made some minor changes recommended by the referee. To appear in Annals of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0302311 | |
| dc.identifier | http://arxiv.org/abs/math/0302311 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66625 | |
| dc.subject | Number Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 11B25; 11P55; 42B15 | |
| dc.title | Roth's theorem in the primes | |
| dc.type | text |