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We show that smooth‐supported multiplicative functions   f   are well distributed in arithmetic progressionsa  1    a   2    −  1(  mod    q  )on average over moduli    q  ⩽   x   3  /  5  −  ɛwith    (  q  ,   a  1    a  2   )  =  1   .

SMOOTH‐SUPPORTED MULTIPLICATIVE FUNCTIONS IN ARITHMETIC PROGRESSIONS BEYOND THE x 1 / 2 ‐BARRIER