Two bipolynomial Roth theorems in \(\mathbb{R}\)
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Publication:2020094
DOI10.1016/j.jfa.2021.109024zbMath1490.42018arXiv2008.13011OpenAlexW3148780878MaRDI QIDQ2020094
Publication date: 23 April 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.13011
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items (2)
A strong-type Furstenberg-Sárközy theorem for sets of positive measure ⋮ A nonlinear version of Roth's theorem on sets of fractional dimensions
Cites Work
- Finite configurations in sparse sets
- Bilinear Hilbert transforms associated with plane curves
- Bilinear Hilbert transforms along curves, I: The monomial case
- On polynomial configurations in fractal sets
- Arithmetic progressions in sets of fractional dimension
- A nonlinear version of Roth's theorem for sets of positive density in the real line
- A new proof of Szemerédi's theorem for arithmetic progressions of length four
- Oscillatory integrals and multipliers on FL\(^p\)
- Uniform estimates for bilinear Hilbert transforms and bilinear maximal functions associated to polynomials
- A polynomial Roth theorem on the real line
- A Polylogarithmic Bound in the Nonlinear Roth Theorem
- Polynomial Roth Theorems on Sets of Fractional Dimensions
- On the bilinear Hilbert transform along two polynomials
- Polynomial extensions of van der Waerden’s and Szemerédi’s theorems
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