Moments of random multiplicative functions and truncated characteristic polynomials
arXiv:1505.03378
Abstract
We give an asymptotic formula for the th moment of a sum of multiplicative Steinhaus variables. This was recently computed independently by Harper, Nikeghbali and Radziwiłł. We also compute the th moment of a truncated characteristic polynomial of a unitary matrix. This provides an asymptotic equivalence with the moments of Steinhaus variables. Similar results for multiplicative Rademacher variables are given.
26 pages