Fourier coefficients of symmetric power L-functions

详细信息    查看全文

• 作者：Hengcai Tang^a ; ¹ ; ^{hctang@henu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Jie Wu^b ; ^c ; ² ; ^{jie.wu@univ-lorraine.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：11F30 ; 11F11 ; 11F66
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：167
• 期：Complete
• 页码：147-160
• 全文大小：343 K

文摘

Let f be a Hecke eigencusp form of even integral weight k   or Maass cusp form for the full modular group SL₂(Z)$S{L}_2(\mathbb{Z})$. Denote by f46bfc69c0c9fcaa9cf4e" title="Click to view the MathML source">λ_sym^mf(n)${\lambda }_{{\mathrm{sym}}^{m}f}(n)$ the nth normalized coefficient of the Dirichlet expansion of the mth symmetric power L-function associated to f. In this paper, we establish some bounds for which improve the corresponding results of Lau & Lü [8].