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 ${\mathbb {Q}}$.
DOI : 10.4153/S0008414X20000577
Mots-clés : L-functions, large values, zeros
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
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     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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