Analysis Seminar

We discuss analog of several classical results about mean values of multiplicative functions over F_q[x] explaining some features that are not present in the number field setting. In the first part of the talk, which is based on the joint work with C. Pohoata and K. Soundararajan, we describe spectrum of multiplicative functions over F_q[x].

In the second part of the talk (based on the joint work with A. Mangerel and J. Teravainen), we will focus on the "corrected" function field analog of the Erd\H{o}s Discrepancy Problem.