Chow, Samuel Khai Ho (2017) Roth–Waring–Goldbach. International Mathematics Research Notices. 2341–2374. ISSN 1687-0247
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.
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Copyright, Publisher and Additional Information: | © 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. | ||||
Dates: |
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Institution: | The University of York | ||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||
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Depositing User: | Pure (York) | ||||
Date Deposited: | 23 Jan 2017 15:34 | ||||
Last Modified: | 06 Dec 2023 11:36 | ||||
Published Version: | https://doi.org/10.1093/imrn/rnw307 | ||||
Status: | Published | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1093/imrn/rnw307 |
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