A polylogarithmic bound in the nonlinear Roth theorem

Peluse, Sarah and Prendiville, Sean (2022) A polylogarithmic bound in the nonlinear Roth theorem. International Mathematics Research Notices, 8. pp. 5658-5684. ISSN 1073-7928

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Abstract

We show that sets of integers lacking the configuration x⁠, x+y⁠, x+y2 have at most polylogarithmic density.

Item Type:

Journal Article

Journal or Publication Title:

International Mathematics Research Notices

Additional Information:

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in British Journal for the Philosophy of Science following peer review. The definitive publisher-authenticated version Sarah Peluse, Sean Prendiville, A Polylogarithmic Bound in the Nonlinear Roth Theorem, International Mathematics Research Notices 2022 8: 5658-5684 is available online at: https://academic.oup.com/imrn/article/2022/8/5658/5921322

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2600

Subjects:

?? general mathematicsmathematics(all) ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

147623

Deposited By:

ep_importer_pure

Deposited On:

24 Sep 2020 13:40

Refereed?:

Yes

Published?:

Published

Last Modified:

25 Jun 2025 00:26

URI:

https://eprints.lancs.ac.uk/id/eprint/147623