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Bounds for Moments of Twisted Fourier coefficients of Modular Forms (2412.12515v1)
Published 17 Dec 2024 in math.NT
Abstract: We establish upper bounds for shifted moments of modular $L$-functions to a fixed modulus as well as quadratic twists of modular $L$-functions under the generalized Riemann hypothesis. Our results are then used to establish bounds for moments of sums involving with Fourier coefficients of a given modular form twisted by Dirichlet characters.
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