Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II

Research output: Contribution to journalArticle

  • Authors:
  • Hung Bui
  • Winston P. Heap
  • Caroline L. Turnage-Butterbaugh

Abstract

Let K be a quadratic number field and ζK(s) be the associated Dedekind zeta-function. We show that there are infinitely many gaps between consecutive zeros of ζK(s) on the critical line which are >2.866 times the average spacing.

Bibliographical metadata

Original languageEnglish
Pages (from-to)467-482
Number of pages15
JournalQuarterly Journal of Mathematics
Volume67
DOIs
StatePublished - 7 Jul 2016