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- Genus_of_a_quadratic_form abstract "In mathematics, the genus is a classification of quadratic forms and lattices over the ring of integers.An integral quadratic form is a quadratic form on Zn, or more generally a free Z-module of finite rank. Two such forms are in the same genus if they are equivalent over the local rings Zp for each prime p and also equivalent over R.Equivalent forms are in the same genus, but the converse does not hold. For example, x2 + 82y2 and 2x2 + 41y2 are in the same genus but not equivalent over Z.Forms in the same genus have equal discriminant and hence there are only finitely many equivalence classes in a genus.The Smith–Minkowski–Siegel mass formula gives the weight or mass of the quadratic forms in a genus, the count of equivalence classes weighted by the reciprocals of the orders of their automorphism groups.".
- Genus_of_a_quadratic_form wikiPageID "36597629".
- Genus_of_a_quadratic_form wikiPageLength "1904".
- Genus_of_a_quadratic_form wikiPageOutDegree "8".
- Genus_of_a_quadratic_form wikiPageRevisionID "573148924".
- Genus_of_a_quadratic_form wikiPageWikiLink Academic_Press.
- Genus_of_a_quadratic_form wikiPageWikiLink Binary_quadratic_form.
- Genus_of_a_quadratic_form wikiPageWikiLink Category:Quadratic_forms.
- Genus_of_a_quadratic_form wikiPageWikiLink Discriminant.
- Genus_of_a_quadratic_form wikiPageWikiLink Quadratic_form.
- Genus_of_a_quadratic_form wikiPageWikiLink Smith–Minkowski–Siegel_mass_formula.
- Genus_of_a_quadratic_form wikiPageWikiLink Spinor_genus.
- Genus_of_a_quadratic_form wikiPageWikiLinkText "Genus of a quadratic form".
- Genus_of_a_quadratic_form wikiPageWikiLinkText "Genus of a quadratic form#Binary quadratic forms".
- Genus_of_a_quadratic_form wikiPageWikiLinkText "genus theory".
- Genus_of_a_quadratic_form wikiPageWikiLinkText "genus".
- Genus_of_a_quadratic_form wikiPageUsesTemplate Template:Algebra-stub.
- Genus_of_a_quadratic_form wikiPageUsesTemplate Template:Cite_book.
- Genus_of_a_quadratic_form wikiPageUsesTemplate Template:SpringerEOM.
- Genus_of_a_quadratic_form subject Category:Quadratic_forms.
- Genus_of_a_quadratic_form hypernym Classification.
- Genus_of_a_quadratic_form type MeanOfTransportation.
- Genus_of_a_quadratic_form comment "In mathematics, the genus is a classification of quadratic forms and lattices over the ring of integers.An integral quadratic form is a quadratic form on Zn, or more generally a free Z-module of finite rank. Two such forms are in the same genus if they are equivalent over the local rings Zp for each prime p and also equivalent over R.Equivalent forms are in the same genus, but the converse does not hold.".
- Genus_of_a_quadratic_form label "Genus of a quadratic form".
- Genus_of_a_quadratic_form sameAs Q5533834.
- Genus_of_a_quadratic_form sameAs m.0kn9f_5.
- Genus_of_a_quadratic_form sameAs Q5533834.
- Genus_of_a_quadratic_form wasDerivedFrom Genus_of_a_quadratic_form?oldid=573148924.
- Genus_of_a_quadratic_form isPrimaryTopicOf Genus_of_a_quadratic_form.