Zeros of ζ″(s) & ζ‴(s) in σ < 1/2

Yildirim C. Y.

Turkish Journal of Mathematics, vol.24, no.1, pp.89-108, 2000 (SCI-Expanded, Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 1
  • Publication Date: 2000
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.89-108
  • Ankara University Affiliated: No

Abstract

There is only one pair of non-real zeros of ζ″(s), and of ζ‴(s), in the left half-plane. The Riemann Hypothesis implies that ζ″(s) and ζ‴(s) have no zeros in the strip 0 ≤ ℜs < 1/2. 19991 Mathematics Subject Classification. Primary 11M26. © TÜBİTAK.