Solubility of Systems of Quadratic Forms
| dc.creator | Martin, Greg | |
| dc.date | 1998-04-08 | |
| dc.date.accessioned | 2026-07-07T05:24:22Z | |
| dc.date.available | 2026-07-07T05:24:22Z | |
| dc.description | We derive an upper bound for the least number of variables needed to guarantee that a system of t quadratic forms (t>=2) over a field F has a nontrivial zero. In particular, if F is a local field, then 2t^2+3 variables insure the existence of a nontrivial zero (2t^2+1 if t is even), while if F=Q_p with p>=11, then 2t^2-2t+5 variables suffice (2t^2-2t+1 if 3 divides t). The improvement lies in a more efficient use of information on the solubility of pairs and triplets of quadratic forms, and the arguments are completely elementary. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/9804051 | |
| dc.identifier | http://arxiv.org/abs/math/9804051 | |
| dc.identifier | Bull. London Math. Soc. 29 (1997), 385-388 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76810 | |
| dc.subject | Number Theory | |
| dc.subject | 11D72 | |
| dc.title | Solubility of Systems of Quadratic Forms | |
| dc.type | text |