A polylogarithmic bound in the nonlinear Roth theorem

Prendiville, Sean and Peluse, Sarah (2020) A polylogarithmic bound in the nonlinear Roth theorem. International Mathematics Research Notices. ISSN 1073-7928

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Official URL: https://doi.org/10.1093/imrn/rnaa261

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, , rnaa261 is available online at:

Uncontrolled Keywords:

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

Subjects:

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?: