| http://dbpedia.org/ontology/abstract
|
In mathematics, a norm form is a homogeneo … 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.ome order in the ring of integers OL of L.
|
| rdfs:comment |
In mathematics, a norm form is a homogeneo … 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.e1 + ... + xnen) in variables x1, ..., xn.
|
