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- W3103184556 abstract "Let $P_1,dots,P_minmathbb{Z}[y]$ be any linearly independent polynomials with zero constant term. We show that there exists a $gamma>0$ such that any subset of $mathbb{F}_q$ of size at least $q^{1-gamma}$ contains a nontrivial polynomial progression $x,x+P_1(y),dots,x+P_m(y)$, provided the characteristic of $mathbb{F}_q$ is large enough." @default.
- W3103184556 created "2020-11-23" @default.
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- W3103184556 date "2019-04-01" @default.
- W3103184556 modified "2023-09-23" @default.
- W3103184556 title "On the polynomial Szemerédi theorem in finite fields" @default.
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- W3103184556 doi "https://doi.org/10.1215/00127094-2018-0051" @default.
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