A note on ζ″(s) and ζ‴(s)
Date
1996
Authors
Yildirim, C.Y.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Proceedings of the American Mathematical Society
Print ISSN
0002-9939
Electronic ISSN
1088-6826
Publisher
American Mathematical Society
Volume
124
Issue
8
Pages
2311 - 2314
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
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. © 1996 American Mathematical Society.