On the second moment of Fourier coefficients of symmetric power <i>L</i>-function

Let [Formula: see text] be the normalized primitive holomorphic Hecke eigenforms of even integral weight k for the full modular group SL[Formula: see text]. In this paper, we investigate the second moment of Fourier coefficients of symmetric power L-function [Formula: see text] for [Formula: see text] and improve on previous error estimates. We also consider the second moment of [Formula: see text].

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Publication Details

Journal
International Journal of Number Theory
Published
2024-12-20
DOI
https://doi.org/10.1142/s1793042125500599
Primary Topic
Advanced Algebra and Geometry
Type
article
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article

On the second moment of Fourier coefficients of symmetric power L-function

Jinzhi Feng
International Journal of Number Theory
Advanced Algebra and Geometry
article

On the second moment of Fourier coefficients of symmetric power L-function

Jinzhi Feng
article en

Abstract

Let [Formula: see text] be the normalized primitive holomorphic Hecke eigenforms of even integral weight k for the full modular group SL[Formula: see text]. In this paper, we investigate the second moment of Fourier coefficients of symmetric power L-function [Formula: see text] for [Formula: see text] and improve on previous error estimates. We also consider the second moment of [Formula: see text].

International Journal of Number TheoryVol. 21(05)
Shandong University (CN)
Openalex Percentile: Top 60%
Advanced Algebra and Geometry
DOISourceOpenAlex
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On the second moment of Fourier coefficients of symmetric power <i>L</i>-function — Jinzhi Feng · International Journal of Number Theory (2024) | TGRS Research Map | TGRS