A Bezoutian approach to orthogonal decompositions of trace forms or integral trace forms of some classical polynomials

Shuichi Otake

    研究成果: Article

    抜粋

    As Helmke and Fuhrmann pointed out, Bezoutian approaches have been considered to be fruitful for the study of trace forms. In this article, we study orthogonal decompositions of trace forms or integral trace forms of some classical polynomials via Bezoutians. In Section 3, we give another proof of a theorem of Feit about orthogonal decompositions of trace forms of generalized Laguerre polynomials. In Section 4, we consider integral trace forms of certain irreducible trinomials and give their orthogonal decompositions explicitly. Then, in Section 5, we obtain their canonical forms over Zp the ring of p-adic integers.

    元の言語English
    ページ(範囲)291-319
    ページ数29
    ジャーナルLinear Algebra and Its Applications
    471
    DOI
    出版物ステータスPublished - 2015 4 15

    ASJC Scopus subject areas

    • Algebra and Number Theory
    • Discrete Mathematics and Combinatorics
    • Geometry and Topology
    • Numerical Analysis

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