A zero density estimate and fractional imaginary parts of zeros for L-functions

Olivia Beckwith, D. I. Liu, Jesse Thorner, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

We prove an analogue of Selberg's zero density estimate for ζ (s) that holds for any GL2 L-function. We use this estimate to study the distribution of the vector of fractional parts of γ α, where α ∈ Rn is fixed and γ varies over the imaginary parts of the nontrivial zeros of a GL2 L-function.

Original languageEnglish (US)
Pages (from-to)605-630
Number of pages26
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume174
Issue number3
DOIs
StatePublished - May 28 2023

Keywords

  • 11M41

ASJC Scopus subject areas

  • General Mathematics

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