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

Shingo Sugiyama, Ade Irma Suriajaya

Research output: Contribution to journalArticlepeer-review

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∈ [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.

Original languageEnglish
Article number55
JournalResearch in Number Theory
Volume8
Issue number3
DOIs
Publication statusPublished - Sep 2022

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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