New error term for the fourth moment of automorphic L-functions

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• 作者：Olga Balkanova^a ; ^{olgabalkanova@gmail.com} ; Dmitry Frolenkov^b ; ^{frolenkov@mi.ras.ru}
• 关键词：primary ; 11F12
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：173
• 期：Complete
• 页码：293-303
• 全文大小：283 K
• 卷排序：173

文摘

We improve the error term in the asymptotic formula for the twisted fourth moment of automorphic L-functions of prime level and weight two proved by Kowalski, Michel and VanderKam. As a consequence, we obtain a new subconvexity bound in the level aspect and improve the lower bound on proportion of simultaneous non-vanishing.