 |
 |
|
|
| HAL: hal-00476252, version 1 |
| Detailed view |  Export this paper |
 |
| Available versions: | v1 (2010-04-29) | v2 (2010-05-12) | v3 (2011-01-22) |
|
|
|
|
| On the zeros of the Riemann Zeta function |
|
|
| Lazhar Fekih-Ahmed 1 |
|
|
| (2010-04-20) |
|
|
|
| This paper is divided into two independent parts. The first part presents a new integral and series representation of the Riemaan zeta function. An equivalent formulation of the Riemann hypothesis is given and few results on this formulation are briefly outlined. The second part exposes a totally different approach. Using the new series representation of the zeta function of the first part, exact information on its zeros is provided based on Tauberian-like results. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Ecole Nationale d'Ingénieurs de Tunis (ENIT) |
|
|
|
Ecole Nationale d'Ingénieurs de Tunis |
|
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Number Theory |
|
|
| Number Theory – Riemann Zeta function – Riemann Hypothesis |
|
|
|
| Attached file list to this document: | ||||||||||
|
||||||||||
|
|
|
| hal-00476252, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00476252 | |
| oai:hal.archives-ouvertes.fr:hal-00476252 | |
| From: Lazhar Fekih-Ahmed | |
| Submitted on: Sunday, 25 April 2010 17:17:17 | |
| Updated on: Thursday, 29 April 2010 08:32:46 | |
