Two bipolynomial Roth theorems in $\mathbb{R}$
Classical Analysis and ODEs
2020-09-01 v1
Abstract
We give two Roth theorems, related to the nonlinear configuration , , involving two polynomials, for sets in of positive density and of fractional dimensions. The proof uses Fourier analysis.
Cite
@article{arxiv.2008.13011,
title = {Two bipolynomial Roth theorems in $\mathbb{R}$},
author = {Xuezhi Chen and Jingwei Guo and Xiaochun Li},
journal= {arXiv preprint arXiv:2008.13011},
year = {2020}
}