Moments of random multiplicative functions and truncated characteristic polynomials
Abstract
We give an asymptotic formula for the 2kth moment of a sum of multiplicative Steinhaus variables. This was recently computed independently by Harper, Nikeghbali and Radziwi. We also compute the 2kth 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.
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