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

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Journal Article
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International Mathematics Research Notices
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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:
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24 Sep 2020 13:40
Last Modified:
26 Jan 2022 12:11