On the vertical distribution of values of L-functions in the Selberg class

Athanasios Sourmelidis, Teerapat Srichan, Jörn Steuding*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We prove explicit formulae for α-points of L-functions from the Selberg class. Next we extend a theorem of Littlewood on the vertical distribution of zeros of the Riemann zeta-function ζ(s) to the case of α-points of the aforementioned L-functions. This result implies the uniform distribution of subsequences of α-points and from this a discrete universality theorem in the spirit of Voronin is derived.
Original languageEnglish
Pages (from-to)277-302
Number of pages26
JournalInternational Journal of Number Theory
Volume18
Issue number2
DOIs
Publication statusPublished - 1 Mar 2022

Keywords

  • Selberg class
  • universality
  • α-points

ASJC Scopus subject areas

  • Algebra and Number Theory

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