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arXiv · 2604.09968

Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms

Peng Gao·Liangyi Zhao
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Abstract

Let $\lambda(n)$ denote the Fourier coefficients of a fixed modular form and $h(n)$ a Steinhaus or Rademacher random multiplicative function. In this paper, we determine the order of magnitude of \[ \E|\sum_{n \leq x} h(n)\lambda(n)|^{2q} \] for real $x$, $q$ with $0 \leq q \leq 1$.

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Peng Gao, Liangyi Zhao. 2026-04-11. Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms. https://arxiv.org/abs/2604.09968

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