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

Text (Polylog IMRN submission 2)
Polylog_IMRN_submission_2.pdf - Accepted Version
Available under License Creative Commons Attribution-NonCommercial.

Download (351kB)


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:
ID Code:
Deposited By:
Deposited On:
24 Sep 2020 13:40
Last Modified:
22 Nov 2022 09:29