Norm Form

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a norm form is a homogeneous form in n variables constructed from the field norm of a field extension L/K of degree n. That is, writing N for the norm mapping to K, and selecting a basis e1, ..., en for L as a vector space over K, the form is given by N(x1e1 + ... + xnen) in variables x1, ..., xn. In number theory norm forms are studied as Diophantine equations, where they generalize, for example, the Pell equation. For this application the field K is usually the rational number field, the field L is an algebraic number field, and the basis is taken of some order in the ring of integers OL of L.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131310768
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131310768
    • Format Fachbuch
    • Titel Norm Form
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 92
    • Genre Mathematik

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