Oscillations of Fourier coefficients of cusp forms over primes

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• 作者：Fei Hou ; ^{feihou.prc@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Guangshi Lü ; ^{gslv@sdu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：11L20 ; 11F30 ; 11F66 ; 11N75
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：159
• 期：Complete
• 页码：370-383
• 全文大小：310 K

文摘

Let f   be a primitive holomorphic or Maass cusp form for the group SL(2,Z)$\mathit{SL}(2,\mathbb{Z})$, and a_f(n)$a_f(n)$ its n  th normalized Fourier coefficient. It is proved that, for any 伪,尾∈R$伪,尾\in \mathbb{R}$, there exists an effective positive constant c such that