Two bipolynomial Roth theorems in R-Reference-Cited by-同舟云学术

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Two bipolynomial Roth theorems in R

Published:2021-07 Issue:2 Volume:281 Page:109024
ISSN:0022-1236
Container-title:Journal of Functional Analysis
language:en
Short-container-title:Journal of Functional Analysis

Author:

Chen Xuezhi,Guo Jingwei^ORCID,Li Xiaochun

Funder

UIUC

Publisher

Elsevier BV

Subject

Analysis

Reference16 articles.

1. Polynomial extensions of van der Waerden's and Szemerédi's theorems;Bergelson;J. Am. Math. Soc.,1996

2. A nonlinear version of Roth's theorem for sets of positive density in the real line;Bourgain;J. Anal. Math.,1988

3. Finite configurations in sparse sets;Chan;J. Anal. Math.,2016

4. On the bilinear Hilbert transform along two polynomials;Dong;Proc. Am. Math. Soc.,2019

5. A polynomial Roth theorem on the real line;Durcik;Trans. Am. Math. Soc.,2019

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Two-Point Polynomial Patterns in Subsets of Positive Density in ℝn;International Mathematics Research Notices;2024-05-21

2. A polynomial Roth theorem for corners in $${\mathbb {R}}^2$$ and a related bilinear singular integral operator;Mathematische Annalen;2023-11-25

3. A Strong-Type Furstenberg–Sárközy Theorem for Sets of Positive Measure;The Journal of Geometric Analysis;2023-05-29

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