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On power sums of Fourier coefficients of cusp forms.

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Bibliographic Details
Title: On power sums of Fourier coefficients of cusp forms.
Authors: Liu, Huafeng1 (AUTHOR) huafengliu@sdnu.edu.cn, Lü, Jingyang1 (AUTHOR) lvjingyang@sdnu.edu.cn
Source: QM - Quaestiones Mathematicae. Nov2025, p1-18. 18p.
Subject Terms: *MODULAR forms, *FOURIER analysis, *ASYMPTOTIC analysis, *MODULAR groups, *NUMBER theory
Abstract: AbstractWe denote by λf (n) the n-th normalized Fourier coefficient of primitive holomorphic cusp form of even integral weight k ≥ 2 for the full modular group SL(2,). In this paper, we prove asymptotic formulae for l-th power sums of two types related to the Fourier coefficient λf (n), which refines previous results. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
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