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arXiv · 1505.03378

Moments of random multiplicative functions and truncated characteristic polynomials

Winston Heap·Sofia Lindqvist
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Abstract

We give an asymptotic formula for the $2k$th moment of a sum of multiplicative Steinhaus variables. This was recently computed independently by Harper, Nikeghbali and Radziwiłł. We also compute the $2k$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.

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Winston Heap, Sofia Lindqvist. 2015-05-13. Moments of random multiplicative functions and truncated characteristic polynomials. https://arxiv.org/abs/1505.03378

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