论文标题
$ gl_ {3}(r)$ $ $ L $ - 功能:通过积分表示的关键身份
Subconvexity for $GL_{3}(R)$ $L$-Functions: The Key Identity via Integral Representations
论文作者
论文摘要
我们通过结合Michel-venkatesh使用的技术来研究$ gl_ {3}(r)$ $ $ $ $ $ $ $ l $ for的$ gl_ {3}(r)$ $ $ $ l $ for的亚凸问题的问题的亚概念问题,通过结合米歇尔·韦卡茨(Michel-Venkatesh我们的主要目标是从$ l $ functions和自动形象理论的整体表示的角度赋予 - 可能解释后者一系列作品中出现的“关键身份”的起源。
We study the subconvexity problem for $GL_{3}(R)$ $L$-functions in the t-aspect using integral representations by combining techniques employed by Michel-Venkatesh in their study of the corresponding problem for $GL_{2}$ with ideas from recent works of Munshi, Holowinsky-Nelson and Lin. Our main objective is to give - from the perspective of integral representations of $L$-functions and automorphic representation theory - a possible explanation of the origin of the "key identity" arising in the latter series of works.