Javascript must be enabled

# Asif Zaman : Moments of other random multiplicative functions

Random multiplicative functions naturally serve as models for number theoretic objects such as the Mobius function. After fixing a particular model, there are many interesting questions one can ask. For example, what is the distribution of their partial sums? Harper has recently made remarkable progress for partial sums of certain random multiplicative functions with values that lie on the complex unit circle. He settled the correct order of magnitude for their low moments and surprisingly established that one expects better than square-root cancellation in their partial sums. I will discuss an extension of Harper's analysis to a wider class of multiplicative functions such as those modeling the coefficients of automorphic $L$-functions.

**Category**: Number Theory**Duration**: 01:34:42**Date**: March 6, 2019 at 3:10 PM**Views**: 165-
**Tags:**seminar, Number Theory Seminar

## 0 Comments