Abstract
Abstract Let F be a field of characteristic 2. The aim of this paper is to give a complete proof of the norm theorem for singular F-quadratic forms which are not totally singular, i.e., we give necessary and sufficient conditions for which a normed irreducible polynomial of F [ x 1 , … , x n ] becomes a norm of such a quadratic form over the rational function field F ( x 1 , … , x n ) . This completes partial results proved on this question in [8] . Combining the present work with the papers [1] and [7] , we obtain the norm theorem for any type of quadratic forms in characteristic 2.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
