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Large values of Dirichlet L-functions at zeros of a class of L-functions
Canadian Journal of Mathematics ( IF 0.7 ) Pub Date : 2020-07-01 , DOI: 10.4153/s0008414x20000577
Junxian Li

In this paper, we are interested in obtaining large values of Dirichlet L-functions evaluated at zeros of a class of L-functions, that is, $$ \begin{align*}\max_{\substack{F(\rho)=0\\ T\leq \Im \rho \leq 2T}}L(\rho,\chi), \end{align*} $$ where $\chi $ is a primitive Dirichlet character and F belongs to a class of L-functions. The class we consider includes L-functions associated with automorphic representations of $GL(n)$ over ${\mathbb {Q}}$ .



中文翻译:

一类 L 函数的零点处的狄利克雷 L 函数的大值

在本文中,我们感兴趣的是获得在一类L函数的零处评估的 Dirichlet L函数的大值,即 $$ \begin{align*}\max_{\substack{F(\rho)= 0\\ T\leq \Im \rho \leq 2T}}L(\rho,\chi), \end{align*} $$ 其中 $\chi $ 是原始狄利克雷字符,F属于L类-职能。我们考虑的类包括与 $GL(n)$ ${\mathbb {Q}}$ 上的自守表示相关的L函数 。

更新日期:2020-07-01
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