Isotropic vectors over global fields
Przemys{\l}aw Koprowski
TL;DR
This paper introduces a comprehensive set of algorithms for finding isotropic vectors in quadratic forms over any global field of characteristic not 2, representing a significant advancement in computational number theory.
Contribution
It provides a complete, improved suite of algorithms for isotropic vector detection over global fields, expanding applicability and efficiency.
Findings
Algorithms work for quadratic forms of any dimension
Enhanced efficiency over previous methods
Applicable to all global fields of characteristic ≠ 2
Abstract
We present a complete suite of algorithms for finding isotropic vectors of quadratic forms (of any dimension) over an arbitrary global field of characteristic different from 2. This is a new version with numerous changes and improvements.
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