Computing singular elements modulo squares
Number Theory
2020-08-25 v1 Symbolic Computation
Abstract
The group of singular elements was first introduced by Helmut Hasse and later it has been studied by numerous authors including such well known mathematicians as: Cassels, Furtw\"{a}ngler, Hecke, Knebusch, Takagi and of course Hasse himself; to name just a few. The aim of the present paper is to present algorithms that explicitly construct groups of singular and -singular elements (modulo squares) in a global function field.
Cite
@article{arxiv.2008.10335,
title = {Computing singular elements modulo squares},
author = {Przemysław Koprowski},
journal= {arXiv preprint arXiv:2008.10335},
year = {2020}
}