Sum of coefficients of general <i>L</i> -functions and applications

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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Publication Details

Journal
International Journal of Number Theory
Published
2025-11-21
DOI
https://doi.org/10.1142/s1793042126500375
Primary Topic
Analytic Number Theory Research
Type
article
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article

Sum of coefficients of general L -functions and applications

Jinzhi Feng
International Journal of Number Theory
Analytic Number Theory Research
article

Sum of coefficients of general L -functions and applications

Jinzhi Feng
article en

Abstract

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.

International Journal of Number TheoryVol. 22(04)
Shandong University (CN)
Openalex Percentile: Top 57%
Analytic Number Theory Research
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