Under GRH, the order of magnitude of E|sum_{n≤x} h(n) λ(n)|^{2q} is determined up to e^{O(q^2)} for 1 ≤ q ≤ c log x / log log x.
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High moments of random multiplicative functions twisted by Fourier coefficients of modular forms
Under GRH, the order of magnitude of E|sum_{n≤x} h(n) λ(n)|^{2q} is determined up to e^{O(q^2)} for 1 ≤ q ≤ c log x / log log x.