Note on the rank of quadratic twists of Mordell equations
| dc.creator | Chang, Sungkon | |
| dc.date | 2005-09-30 | |
| dc.date.accessioned | 2026-07-07T06:20:31Z | |
| dc.date.available | 2026-07-07T06:20:31Z | |
| dc.description | 14H52 : Elliptic curves Let E be the elliptic curve given by a Mordell equation y^2=x^3-A where A is an integer. For certain A, we use Stoll's formula to compute a lower bound for the proportion of square-free integers D up to X such that the Mordell-Weil rank of the quadratic twist by D is less than 2k, for given non-negative k. We also compute an upper bound for a certain average rank of quadratic twists of E. | |
| dc.description | 8 pages; accepted by J. Number Theory | |
| dc.identifier | https://arxiv.org/abs/math/0510001 | |
| dc.identifier | http://arxiv.org/abs/math/0510001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95344 | |
| dc.subject | Number Theory | |
| dc.subject | 14H52 | |
| dc.title | Note on the rank of quadratic twists of Mordell equations | |
| dc.type | text |