Roth–Waring–Goldbach

Samuel Khai Ho Chow

doi:10.1093/imrn/rnw307

Roth–Waring–Goldbach

Samuel Khai Ho Chow

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	2341–2374
Journal	International Mathematics Research Notices
Volume	2018
Issue number	8
DOIs	https://doi.org/10.1093/imrn/rnw307
Publication status	Published - 11 Jan 2017

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.

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10.1093/imrn/rnw307

RothWaringGoldbach_161123
© 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.
Accepted author manuscript, 393 KB

Programme Grant-New Frameworks in metric Number Theory
Velani, S. & Beresnevich, V.
EPSRC
1/06/12 → 30/11/18
Project: Research project (funded) › Research

Cite this

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Roth–Waring–Goldbach

Abstract

Bibliographical note

Access to Document

Projects

Programme Grant-New Frameworks in metric Number Theory

Cite this