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Two bipolynomial Roth theorems in R

Chen, XZ; Guo, JW; Li, XC

Li, XC (corresponding author), Univ Illinois, Dept Math, Urbana, IL 61801 USA.

JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (2):

Abstract

We give two Roth theorems, related to the nonlinear configuration x, x + P-1(t), x + P-2(t) involving two polynomials, for sets in R of positive densi......

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