Zeros of ζ″(s) & ζ‴(s) in σ < 1/2

Yildirim C. Y.

Turkish Journal of Mathematics, cilt.24, sa.1, ss.89-108, 2000 (SCI-Expanded, Scopus, TRDizin) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 1
  • Basım Tarihi: 2000
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.89-108
  • Ankara Üniversitesi Adresli: Hayır

Özet

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.