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- W4380886056 abstract "Using recent developments on the theory of locally decodable codes, we prove that the critical size for Szemer'edi's theorem with random differences is bounded from above by $N^{1-frac{2}{k} + o(1)}$ for length-$k$ progressions. This improves the previous best bounds of $N^{1-frac{1}{ceil{k/2}} + o(1)}$ for all odd~$k$." @default.
- W4380886056 created "2023-06-17" @default.
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- W4380886056 date "2023-01-01" @default.
- W4380886056 modified "2023-10-01" @default.
- W4380886056 title "Raising the roof on the threshold for Szemerédi's theorem with random differences" @default.
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- W4380886056 doi "https://doi.org/10.5817/cz.muni.eurocomb23-032" @default.
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