Optimal systems of fundamental S-units for LLL-reduction
| dc.creator | Hajdu, Lajos | |
| dc.date | 2009-05-06 | |
| dc.date.accessioned | 2026-07-07T13:12:10Z | |
| dc.date.available | 2026-07-07T13:12:10Z | |
| dc.description | We show that a particular parameter plays a vital role in the resolution of S-unit equations, at the stage where LLL-reduction is applied. We define the notion of optimal system of fundamental S-units (with respect to this parameter), and prove that such a system exists and can be effectively constructed. Applying our results and methods, one can obtain much better bounds for the solutions of S-unit equations after the reduction step, than earlier. We briefly also discuss some effects of our results on the method of Wildanger and Smart for the resolution of S-unit equations. | |
| dc.description | to appear in Periodica Math. Hung | |
| dc.identifier | https://arxiv.org/abs/0905.0745 | |
| dc.identifier | http://arxiv.org/abs/0905.0745 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229505 | |
| dc.subject | Number Theory | |
| dc.subject | 11R27; 11D61; 11Y50 | |
| dc.title | Optimal systems of fundamental S-units for LLL-reduction | |
| dc.type | text |