On the Riesz and Baez-Duarte criteria for the Riemann Hypothesis
| dc.creator | Cislo, Jerzy | |
| dc.creator | Wolf, Marek | |
| dc.date | 2008-07-18 | |
| dc.date.accessioned | 2026-07-07T09:51:19Z | |
| dc.date.available | 2026-07-07T09:51:19Z | |
| dc.description | We investigate the relation between the Riesz and the B{á}ez-Duarte criterion for the Riemann Hypothesis. In particular we present the relation between the function $R(x)$ appearing in the Riesz criterion and the sequence $c_k$ appearing in the B{á}ez-Duarte formulation. It is shown that $R(x)$ can be expressed by $c_k$, and, vice versa, the sequence $c_k$ can be obtained from the values of $R(x)$ at integer arguments. Also, we give some relations involving $c_k$ and $R(x)$, and value of the alternating sum of $c_k$. | |
| dc.description | Partly based on arXiv:math.NT/0607782, most of proofs changed, new figures. Some of the research results have been extracted and various new results added. New conjecture is formulated at the end | |
| dc.identifier | https://arxiv.org/abs/0807.2971 | |
| dc.identifier | http://arxiv.org/abs/0807.2971 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165245 | |
| dc.subject | Number Theory | |
| dc.title | On the Riesz and Baez-Duarte criteria for the Riemann Hypothesis | |
| dc.type | text |