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JournalInternational Mathematics Research Notices
DateAccepted/In press - 22 Nov 2016
DatePublished (current) - 11 Jan 2017
Issue number8
Pages (from-to)2341–2374
Original languageEnglish


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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© 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.


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