.png){kind=icon}
.png){kind=icon}
Return
ISOTROPIC VECTORS OVER GLOBAL FIELDS
.png){kind=icon}
PRE
AI
DOI：10.1090/mcom/4165.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
An isotropic vector of a given quadratic form is a nonzero vector where the form vanishes. Geometrically, it is a vector that is self-orthogonal with respect to this form. On the other hand, from the arithmetical point of view, an isotropic vector forms a solution to a multivariate quadratic equation. The problem of constructing isotropic vectors is one of the leading forces in the computational theory of quadratic forms. In this paper, we present algorithms for finding isotropic vectors of quadratic forms (of any dimension) over an arbitrary global field of characteristic distinct from 2.
Keywords:
Isotropic vectors
quadratic forms
Diophantine equations
algorithms
global fields
number fields
Journal
M
IF:
2.1
Papers:
69
Citations:
1.1W