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Smooth-supported multiplicative functions in arithmetic progressions beyond the $x^{1/2}$-barrier
Published 16 Apr 2017 in math.NT | (1704.04831v2)
Abstract: We show that smooth-supported multiplicative functions $f$ are well-distributed in arithmetic progressions $a_1a_2{-1} \pmod q$ on average over moduli $q\leq x{3/5-\varepsilon}$ with $(q,a_1a_2)=1$.
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