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Two bipolynomial Roth theorems in $\mathbb{R}$
Published 29 Aug 2020 in math.CA | (2008.13011v1)
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 $\mathbb{R}$ of positive density and of fractional dimensions. The proof uses Fourier analysis.
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