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.
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