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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 wikiPageRevisionID "332175040".
- Norm_form hasPhotoCollection Norm_form.
- Norm_form subject Category:Diophantine_equations.
- Norm_form subject Category:Field_theory.
- Norm_form subject Category:Homogeneous_polynomials.
- Norm_form type Abstraction100002137.
- Norm_form type Communication100033020.
- Norm_form type DiophantineEquations.
- Norm_form type Equation106669864.
- Norm_form type Function113783816.
- Norm_form type HomogeneousPolynomial105862268.
- Norm_form type HomogeneousPolynomials.
- Norm_form type MathematicalRelation113783581.
- Norm_form type MathematicalStatement106732169.
- Norm_form type Message106598915.
- Norm_form type Polynomial105861855.
- Norm_form type Relation100031921.
- Norm_form type Statement106722453.
- 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 m.025w0zb.
- Norm_form sameAs Q7051619.
- Norm_form sameAs Q7051619.
- Norm_form sameAs Norm_form.
- Norm_form wasDerivedFrom Norm_form?oldid=332175040.
- Norm_form isPrimaryTopicOf Norm_form.