On the Riemann zeta-function, Parts IV-V
| dc.creator | Csizmazia, Anthony | |
| dc.date | 2007-05-31 | |
| dc.date | 2007-07-12 | |
| dc.date.accessioned | 2026-07-07T08:14:59Z | |
| dc.date.available | 2026-07-07T08:14:59Z | |
| dc.description | In Part I an odd meromorphic function f(s) has been constructed from the Riemann zeta-function evaluated at one-half plus s. The conjunction of the Riemann hypothesis and hypotheses advanced by the author in Part I is assumed. In Part IV we derive the two-sided Laplace transform representation of f(s) on the open vertical strip V of all s with real part between zero and four. An additional hypothesis is used to prove that the Laplace density of f(s) on the strip V is positive. Let z(n) be the nth critical zero of the Riemann zeta-function of positive imaginary part in order of magnitude thereof. In Part V an expression is derived for z(1). A relation is obtained of the pair z(n) and the first derivative thereat of the zeta-function to the preceding such pairs. | |
| dc.description | 12 pages Added Part V to a contracted version of Part IV | |
| dc.identifier | https://arxiv.org/abs/0705.4593 | |
| dc.identifier | http://arxiv.org/abs/0705.4593 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133327 | |
| dc.subject | General Mathematics | |
| dc.subject | 11Mxx; 11M06; 11M26; 30xx; 44A10; 42A82; 60E10 | |
| dc.title | On the Riemann zeta-function, Parts IV-V | |
| dc.type | text |