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Two bipolynomial Roth theorems in R
Journal of Functional Analysis ( IF 1.7 ) Pub Date : 2021-04-07 , DOI: 10.1016/j.jfa.2021.109024
Xuezhi Chen , Jingwei Guo , Xiaochun Li

We give two Roth theorems, related to the nonlinear configuration x, x+P1(t), x+P2(t) involving two polynomials, for sets in R of positive density and of fractional dimensions. The proof uses Fourier analysis.



中文翻译:

的两个双多项式Roth定理 [R

我们给出两个Roth定理,它们与非线性配置x有关X+P1个ŤX+P2个Ť 涉及两个多项式,用于 [R正密度和小数位数。该证明使用傅立叶分析。

更新日期:2021-04-08
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