A Polylogarithmic Bound in the Nonlinear Roth Theorem

Sarah Peluse; Sean Prendiville

doi:10.1093/imrn/rnaa261

A Polylogarithmic Bound in the Nonlinear Roth Theorem

Sarah Peluse, Sean Prendiville

Mathematics

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

14 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	5658-5684
Number of pages	27
Journal	International Mathematics Research Notices
Volume	2022
Issue number	8
DOIs	https://doi.org/10.1093/imrn/rnaa261
State	Published - Apr 1 2022

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnaa261

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title = "A Polylogarithmic Bound in the Nonlinear Roth Theorem",

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

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A Polylogarithmic Bound in the Nonlinear Roth Theorem

Abstract

All Science Journal Classification (ASJC) codes

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