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Schipani, D (2011). Zeros of the Hurwitz zeta function in the interval (0,1). Journal of Combinatorics and Number Theory, 3(1):71-74.
We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\zeta(s,w)$ has no zeros and is actually negative. As a corollary we derive that it is nonzero for $w\geq 1$ and $s\in(0,1)$ and, as a particular instance, the known result that the classical zeta function has no zeros in $(0,1)$.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 2011 |
| Deposited On: | 14 Jan 2012 21:05 |
| Last Modified: | 23 Jan 2022 20:15 |
| Publisher: | Nova Science Publishers |
| ISSN: | 1942-5600 |
| OA Status: | Green |
| Related URLs: | https://www.novapublishers.com/catalog/product_info.php?products_id=27468 (Publisher) http://arxiv.org/abs/1003.2060 |
Schipani, D