Affiliation:
1. Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland. przemyslaw.koprowski@us.edu.pl
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, Furtwängler, 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 S-singular elements (modulo squares) in a global function field.
Subject
Computational Theory and Mathematics,Information Systems,Algebra and Number Theory,Theoretical Computer Science
Cited by
2 articles.
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1. Computing Square Roots in Quaternion Algebras;Fundamenta Informaticae;2023-10-27
2. Solving Sums of Squares in Global Fields;Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation;2022-07-04