Value-Distribution of the Riemann Zeta-Function Along Its Julia Lines

Jörn Steuding, Ade Irma Suriajaya

Research output: Contribution to journalArticlepeer-review

Abstract

For an arbitrary complex number a≠ 0 we consider the distribution of values of the Riemann zeta-function ζ at the a-points of the function Δ which appears in the functional equation ζ(s) = Δ (s) ζ(1 - s). These a-points δa are clustered around the critical line 1 / 2 + iR which happens to be a Julia line for the essential singularity of ζ at infinity. We observe a remarkable average behaviour for the sequence of values ζ(δa).

Original languageEnglish
Pages (from-to)389-401
Number of pages13
JournalComputational Methods and Function Theory
Volume20
Issue number3-4
DOIs
Publication statusPublished - Nov 2020

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Theory and Mathematics
  • Applied Mathematics

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