Hecke-Maass新形式的Hecke特征值的第一个变号问题

唐恒才, 王英男

doi:10.13371/j.cnki.chin.q.j.m.2025.04.006

数学季刊 >

2025 , Vol. 40 >Issue 4: 401 - 407

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.04.006

Hecke-Maass新形式的Hecke特征值的第一个变号问题

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1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. School of Mathematical Sciences, Shenzhen University, Shenzhen 518060, China

TANG Heng-cai (1984-), male, native of Heze, Shandong, professor of Henan University, engages in number theory; WANG Ying-nan (1984-), male, native of Heze, Shandong, professor of Shenzhen University, engages in number theory.

TANG Heng-cai (1984-), male, native of Heze, Shandong, professor of Henan University, engages in number theory;

收稿日期: 2025-08-20

网络出版日期: 2025-12-30

基金资助

Supported by National Natural Science Foundation of China (Grant Nos. 11871193 and 12371006).

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The First Sign Change of Hecke Eigenvalues of Hecke-Maass New Forms#br#

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1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. School of Mathematical Sciences, Shenzhen University, Shenzhen 518060, China

TANG Heng-cai (1984-), male, native of Heze, Shandong, professor of Henan University, engages in number theory;

Received date: 2025-08-20

Online published: 2025-12-30

Supported by

Supported by National Natural Science Foundation of China (Grant Nos. 11871193 and 12371006).

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摘要

In this short note, we survey the recent development on the first sign change of Hecke eigenvalues of Hecke-Maass new forms.

关键词：

Cusp form

; Fourier coefficient; L-function

本文引用格式

唐恒才, 王英男 . Hecke-Maass新形式的Hecke特征值的第一个变号问题[J]. 数学季刊, 2025 , 40(4) : 401 -407 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.04.006

Abstract

In this short note, we survey the recent development on the first sign change of Hecke eigenvalues of Hecke-Maass new forms.

Key words： Cusp form; Fourier coefficient; L-function

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