| Full text | |
| Author(s): |
Oliveira, Willian D.
Total Authors: 1
|
| Document type: | Journal article |
| Source: | JOURNAL OF NUMBER THEORY; v. 203, p. 80-94, OCT 2019. |
| Web of Science Citations: | 2 |
| Abstract | |
We obtain a necessary and sufficient condition in order that a semi-plane of the form R(s) > r, r is an element of R, is free of zeros of a given Dirichlet polynomial. The result may be considered a natural generalisation of a well-known criterion for the truth of the Riemann hypothesis due to Baez-Duarte. An analog for the case of Dirichlet polynomials of a result of Burnol which is closely related to Baez-Duarte's one is also established. (C) 2018 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 13/14881-9 - Harmonic analysis and Number Theory |
| Grantee: | Willian Diego Oliveira |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 17/15223-6 - The Laguerre-Pólya class theory of functions and applications in the Analytic Number Theory |
| Grantee: | Willian Diego Oliveira |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 16/09906-0 - Harmonic analysis, approximation theory and applications |
| Grantee: | Dimitar Kolev Dimitrov |
| Support Opportunities: | Research Projects - Thematic Grants |