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- W2937156716 abstract "We obtain a double exponential bound in Brauer's generalisation of van der Waerden's theorem, which concerns progressions with the same colour as their common difference. Such a result has been obtained independently and in much greater generality by Sanders. Using Gowers' local inverse theorem, our bound is quintuple exponential in the length of the progression. We refine this bound in the colour aspect for three-term progressions, and combine our arguments with an insight of Lefmann to obtain analogous bounds for the Ramsey numbers of certain nonlinear quadratic equations." @default.
- W2937156716 created "2019-04-25" @default.
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- W2937156716 date "2019-04-16" @default.
- W2937156716 modified "2023-09-27" @default.
- W2937156716 title "On the Ramsey number of the Brauer configuration" @default.
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