Small Zeros of Quadratic Forms with Linear Conditions
| dc.creator | Fukshansky, Lenny | |
| dc.date | 2004-02-17 | |
| dc.date.accessioned | 2026-07-07T08:12:18Z | |
| dc.date.available | 2026-07-07T08:12:18Z | |
| dc.description | Given a quadratic form and $M$ linear forms in $N+1$ variables with coefficients in a number field $K$, suppose that there exists a point in $K^{N+1}$ at which the quadratic form vanishes and all the linear forms do not. Then we show that there exists a point like this of relatively small height. This generalizes a result of D.W. Masser (1998). As a corollary of this result, we prove an extension of Cassels' theorem on small zeros of quadratic forms (1955) to non-singular small zeros over a number field. | |
| dc.description | 11 pages, to appear in Journal of Number Theory | |
| dc.identifier | https://arxiv.org/abs/math/0402284 | |
| dc.identifier | http://arxiv.org/abs/math/0402284 | |
| dc.identifier | J. Number Theory 108 (2004), no. 1, 29--43 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132408 | |
| dc.subject | Number Theory | |
| dc.subject | 11D09, 11E12, 11H46 | |
| dc.title | Small Zeros of Quadratic Forms with Linear Conditions | |
| dc.type | text |