数学季刊 ›› 2025, Vol. 40 ›› Issue (4): 401-407.doi: 10.13371/j.cnki.chin.q.j.m.2025.04.006

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Hecke-Maass新形式的Hecke特征值的第一个变号问题

  

  1. 1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. School of Mathematical Sciences, Shenzhen University, Shenzhen 518060, China
  • 收稿日期:2025-08-20 出版日期:2025-12-30 发布日期:2025-12-30
  • 作者简介: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.
  • 基金资助:
    Supported by National Natural Science Foundation of China (Grant Nos. 11871193 and 12371006).

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

  1. 1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. School of Mathematical Sciences, Shenzhen University, Shenzhen 518060, China
  • Received:2025-08-20 Online:2025-12-30 Published:2025-12-30
  • About author: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.
  • 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:

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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