Irrationality of some p-adic L-values
| dc.creator | Beukers, F. | |
| dc.date | 2006-03-12 | |
| dc.date | 2006-06-20 | |
| dc.date.accessioned | 2026-07-07T07:06:47Z | |
| dc.date.available | 2026-07-07T07:06:47Z | |
| dc.description | We give a proof of the irrationality of the $p$-adic zeta-values $ζ_p(k)$ for $p=2,3$ and $k=2,3$. Such results were recently obtained by F.Calegari as an application of overconvergent $p$-adic modular forms. In this paper we present an approach using classical continued fractions discovered by Stieltjes. In addition we show irrationality of some other $p$-adic $L$-series values, and values of the $p$-adic Hurwitz zeta-function. | |
| dc.identifier | https://arxiv.org/abs/math/0603277 | |
| dc.identifier | http://arxiv.org/abs/math/0603277 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110155 | |
| dc.subject | Number Theory | |
| dc.subject | 11J72 | |
| dc.title | Irrationality of some p-adic L-values | |
| dc.type | text |