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- W2079378932 abstract "We show that any set containing a positive proportion of the primes contains a 3-term arithmetic progression. An important ingredient is a proof that the primes enjoy the so-called Hardy-Littlewood majorant property. We derive this by giving a new proof of a rather more general result of Bourgain which, because of a close analogy with a classical argument of Tomas and Stein from Euclidean harmonic analysis, might be called a restriction theorem for the primes." @default.
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- W2079378932 date "2005-05-01" @default.
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- W2079378932 title "Roth’s theorem in the primes" @default.
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- W2079378932 doi "https://doi.org/10.4007/annals.2005.161.1609" @default.
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