Investigation shows improvements in Fourier coefficients of L-functions, indicating broader applications for cusp forms.
In this paper, we investigate the average formula for the coefficients of general L-functions without assuming the generalized Ramanujan conjecture. As an application, we consider the higher moments of Fourier coefficients of Hecke-Maass cusp forms. Our results also improve the previous results.
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Jinzhi Feng (2025) studied this question.
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