Weighted one-level density of low-lying zeros of Dirichlet L-functions

Weighted one-level density of low-lying zeros of Dirichlet L-functions
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Dirichlet L 函数低点零点的加权一级密度

DOI:
10.1007/s40993-022-00359-0
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发表时间:
2022
影响因子:
0.8
通讯作者:
Ade Irma Suriajaya
Ade Irma Suriajaya
中科院分区:
--
文献类型:
--
作者:
Shingo Sugiyama;Ade Irma Suriajaya

文献摘要

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In this paper, we compute the one-level density of low-lying zeros of DirichletL-functions in a family weighted by special values of DirichletL-functions at a fixed. We verify both Fazzari’s conjecture and the first author’s conjecture on the weighted one-level density for our family ofL-functions.