Roth–Waring–Goldbach
Research output: Contribution to journal › Article
Full text download(s)
392 KB, PDF-document
Published copy (DOI)
Author(s)
Department/unit(s)
Publication details
| Journal | International Mathematics Research Notices |
|---|---|
| Date | Accepted/In press - 22 Nov 2016 |
| Date | Published (current) - 11 Jan 2017 |
| Issue number | 8 |
| Volume | 2018 |
| Pages (from-to) | 2341–2374 |
| Original language | English |
Abstract
We use Green's transference principle to show that any subset of the $d$th powers of primes with positive relative density contains nontrivial solutions to a translation-invariant linear equation in $d^2+1$ or more variables, with explicit quantitative bounds.
Bibliographical note
© 2016 Oxford University Press. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.
Projects
Programme Grant-New Frameworks in metric Number Theory
Project: Research
Discover related content
Find related publications, people, projects, datasets and more using interactive charts.