Higher integral moments of automorphic L-functions in short intervals

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• 作者：Xuanxuan Xiao ^{xiaoxuan.uhp@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：L-functions ; Automorphic forms ; Moment
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：171
• 期：Complete
• 页码：169-197
• 全文大小：483 K

文摘

We consider the higher integral moments for automorphic L-functions in short intervals and give a proof for the conjecture of Conrey et al. under Generalized Riemann Hypothesis for automorphic L-function.