A polylogarithmic bound in the nonlinear Roth theorem

Autor:	Peluse, Sarah, Prendiville, Sean
Rok vydání:	2020
Předmět:	Mathematics - Number Theory Mathematics - Combinatorics
Zdroj:	Int. Math. Res. Not. (2022), no. 8, 5658-5684
Druh dokumentu:	Working Paper
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:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.04122 Zobrazit plný text záznamu View this record from Arxiv