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LINEAR AND QUADRATIC UNIFORMITY OF THE MÖBIUS FUNCTION OVER

LINEAR AND QUADRATIC UNIFORMITY OF THE MÖBIUS FUNCTION OVER

We examine correlations of the Möbius function over with linear or quadratic phases, that is, averages of the form (1) for an additive character χ over and a polynomial of degree at most 2 in the coefficients of . As in the integers, it is reasonable to expect that, due …