MULTIPLICATIVE FUNCTIONS IN SHORT INTERVALS, AND CORRELATIONS OF MULTIPLICATIVE FUNCTIONS
Our goal in this note is two fold. In part I, we motivate and explain the ideas behind a recent theorem of ours. Theorem 1 (Matomaki Radziwill) Let f be a real valued multiplicative function with jf j 1. Then, for all X x 2X with at most o(X) exceptions, 1 H X
Proceedings of the International Congress of Mathematicians (ICM 2018)