An Approach to PI(x) and other Arithmetical function by Variational principles
| dc.creator | Moreta, Jose Javier Garcia | |
| dc.date | 2006-05-21 | |
| dc.date | 2007-03-06 | |
| dc.date.accessioned | 2026-07-07T07:50:06Z | |
| dc.date.available | 2026-07-07T07:50:06Z | |
| dc.description | In this paper we present a method to derive Pi(x) and other Arithemtical functions that can be generated by a Dirichlet series by variational principles,we use a variational method to determine the solution for a Fredholm integral equation of second kind, after that we propose (obtain) two integral equations one for the Pi(x) and other for the arithmetical function A(x)=Sum(n,x)a(n) so they can be solved by usual optimization method. Also some conjectures on the value for the asymptotic value of the sum of f(t)=t^{n} are given in the form Li(x^{n+1}) Changes: Rayleigh-ritz Variational Methods added, we have also included a brief description of how to accelerate the convergence of the series Sum{p}f(x),Grammar changes. | |
| dc.description | This submission has been withdrawn by arXiv administrators because of fraudulently claimed institutional affiliation and status | |
| dc.identifier | https://arxiv.org/abs/math/0605570 | |
| dc.identifier | http://arxiv.org/abs/math/0605570 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125059 | |
| dc.subject | General Mathematics | |
| dc.subject | 11.xx 45.xx 46.xx | |
| dc.title | An Approach to PI(x) and other Arithmetical function by Variational principles | |
| dc.type | text |