Algorithms for quadratic forms over global function fields of odd characteristic
Number Theory
2021-04-22 v1
Abstract
This paper presents an adaptation of recently developed algorithms for quadratic forms over number fields in arXiv:1304.0708 to global function fields of odd characteristics. First, we present algorithm for checking if a given non-degenerate quadratic form is isotropic or hyperbolic. Next we devise a method for computing the dimension of the anisotropic part of a quadratic form. Finally we present algorithms computing two field invariants: the level and the Pythagoras number.
Cite
@article{arxiv.2104.10547,
title = {Algorithms for quadratic forms over global function fields of odd characteristic},
author = {Mawunyo Kofi Darkey-Mensah},
journal= {arXiv preprint arXiv:2104.10547},
year = {2021}
}