Giacomo Cherubini: On the Möbius function in short intervals

ABSTRACT:

We will discuss the recent work (November 2019) by Matomäki and Teräväinen on the Möbius function in short intervals, which gives an upper bound for intervals of length x^(0.55+epsilon). The exponent 0.55 marks an improvement over the previous record 7/12, due to Ramachandra in 1976.

This is the first of a three-series talks.