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arXiv · 2201.00326

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

Shingo Sugiyama·Ade Irma Suriajaya
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Abstract

In this paper, we compute the one-level density of low-lying zeros of Dirichlet $L$-functions in a family weighted by special values of Dirichlet $L$-functions at a fixed $s \in [1/2, 1)$. We verify both Fazzari's conjecture and the first author's conjecture on the weighted one-level density for our family of $L$-functions.

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Shingo Sugiyama, Ade Irma Suriajaya. 2022-01-02. Weighted one-level density of low-lying zeros of Dirichlet $L$-functions. https://doi.org/10.1007/s40993-022-00359-0

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