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- Norm_form abstract "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 basise1, ..., enfor L as a vector space over K, the form is given byN(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.".
- Norm_form wikiPageID "7204666".
- Norm_form wikiPageLength "1874".
- Norm_form wikiPageOutDegree "13".
- Norm_form wikiPageRevisionID "679585851".
- Norm_form wikiPageWikiLink Algebraic_number_field.
- Norm_form wikiPageWikiLink Category:Diophantine_equations.
- Norm_form wikiPageWikiLink Category:Field_theory.
- Norm_form wikiPageWikiLink Category:Homogeneous_polynomials.
- Norm_form wikiPageWikiLink Diophantine_equation.
- Norm_form wikiPageWikiLink Field_extension.
- Norm_form wikiPageWikiLink Field_norm.
- Norm_form wikiPageWikiLink Homogeneous_polynomial.
- Norm_form wikiPageWikiLink Mathematics.
- Norm_form wikiPageWikiLink Number_theory.
- Norm_form wikiPageWikiLink Order_(ring_theory).
- Norm_form wikiPageWikiLink Pells_equation.
- Norm_form wikiPageWikiLink Ring_of_integers.
- Norm_form wikiPageWikiLinkText "Norm form".
- Norm_form wikiPageWikiLinkText "norm form".
- Norm_form wikiPageUsesTemplate Template:Reflist.
- Norm_form subject Category:Diophantine_equations.
- Norm_form subject Category:Field_theory.
- Norm_form subject Category:Homogeneous_polynomials.
- Norm_form hypernym Form.
- Norm_form type Polynomial.
- Norm_form comment "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 basise1, ..., enfor L as a vector space over K, the form is given byN(x1e1 + ... + xnen)in variables x1, ..., xn.In number theory norm forms are studied as Diophantine equations, where they generalize, for example, the Pell equation.".
- Norm_form label "Norm form".
- Norm_form sameAs Q7051619.
- Norm_form sameAs m.025w0zb.
- Norm_form sameAs Q7051619.
- Norm_form wasDerivedFrom Norm_form?oldid=679585851.
- Norm_form isPrimaryTopicOf Norm_form.