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

TANG Heng-cai, WANG Ying-nan

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

Chinese Quarterly Journal of Mathematics >

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

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

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

Expand

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;

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).

Fold

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

Cite this article

TANG Heng-cai, WANG Ying-nan . The First Sign Change of Hecke Eigenvalues of Hecke-Maass New Forms#br#[J]. Chinese Quarterly Journal of Mathematics, 2025 , 40(4) : 401 -407 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.04.006

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article