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Four variants of the Fourier-analytic transference principle (1509.09200v1)
Published 30 Sep 2015 in math.NT and math.CO
Abstract: We survey four instances of the Fourier analytic 'transference principle' or 'dense model lemma', which allows one to approximate an unbounded function on the integers by a bounded function with similar Fourier transform. Such a result forms a component of a general method pioneered by Green to count solutions to a single linear equation in a sparse subset of integers.
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