Epkenhans, Martin Trace forms of trinomials. (English) Zbl 0777.11010 J. Algebra 155, No. 1, 211-220 (1993). The trace forms of separable field extensions \(L/K\), \(\text{char}(K)\neq 2\), defined by trinomials \(X^ n+aX^ k+b\) are determined in the Witt ring of \(K\) (Theorem 1). In the case of an algebraic number field \(K\) a complete classification of all such trace forms defined by these trinomials is given (Theorem 2). This note generalizes the results of Serre for the case \(k=1\), Conner, Perlis for \(k=1\), \(n\) odd and \(K=\mathbb{Q}\) and Conner and Yui for some other special cases. Reviewer: H.-J.Bartels (Mannheim) Cited in 1 ReviewCited in 3 Documents MSC: 11E12 Quadratic forms over global rings and fields 11E04 Quadratic forms over general fields 11E81 Algebraic theory of quadratic forms; Witt groups and rings Keywords:trace forms; separable field extensions; trinomials; Witt ring PDFBibTeX XMLCite \textit{M. Epkenhans}, J. Algebra 155, No. 1, 211--220 (1993; Zbl 0777.11010) Full Text: DOI