A polylogarithmic bound in the nonlinear Roth theorem

Autor: Sarah Peluse, Sean Prendiville
Rok vydání: 2020
Předmět:
DOI: 10.48550/arxiv.2003.04122
Popis: We show that sets of integers lacking the configuration $x$, $x+y$, $x+y^2$ have at most polylogarithmic density.
Comment: v2. Replaced use of Hahn-Banach theorem with simplified treatment involving Cauchy-Schwarz
Databáze: OpenAIRE