The moment zeta function and applications
| dc.creator | Rivin, Igor | |
| dc.date | 2002-01-13 | |
| dc.date.accessioned | 2026-07-07T04:45:50Z | |
| dc.date.available | 2026-07-07T04:45:50Z | |
| dc.description | Motivated by a probabilistic analysis of a simple game (itself inspired by a problem in computational learning theory) we introduce the \emph{moment zeta function} of a probability distribution, and study in depth some asymptotic properties of the moment zeta function of those distributions supported in the interval [0, 1]. One example of such zeta functions is Riemann's zeta function (which is the moment zeta function of the uniform distribution in [0, 1]. For Riemann's zeta function we are able to show particularly sharp versions of our results. | |
| dc.description | 19 pages, supercedes a part of cs.LG/0107033 | |
| dc.identifier | https://arxiv.org/abs/math/0201109 | |
| dc.identifier | http://arxiv.org/abs/math/0201109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63104 | |
| dc.subject | Number Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 11M06; 60F99; 60C05 | |
| dc.title | The moment zeta function and applications | |
| dc.type | text |