Large values of Dirichlet L-functions at zeros of a class of L-functions
Canadian journal of mathematics, Tome 73 (2021) no. 6, pp. 1459-1505
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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 ${\mathbb {Q}}$.
Li, Junxian. Large values of Dirichlet L-functions at zeros of a class of L-functions. Canadian journal of mathematics, Tome 73 (2021) no. 6, pp. 1459-1505. doi: 10.4153/S0008414X20000577
@article{10_4153_S0008414X20000577,
author = {Li, Junxian},
title = {Large values of {Dirichlet} {L-functions} at zeros of a class of {L-functions}},
journal = {Canadian journal of mathematics},
pages = {1459--1505},
year = {2021},
volume = {73},
number = {6},
doi = {10.4153/S0008414X20000577},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000577/}
}
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%0 Journal Article %A Li, Junxian %T Large values of Dirichlet L-functions at zeros of a class of L-functions %J Canadian journal of mathematics %D 2021 %P 1459-1505 %V 73 %N 6 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000577/ %R 10.4153/S0008414X20000577 %F 10_4153_S0008414X20000577
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