A duality for representation by quadratic forms (Q801095)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A duality for representation by quadratic forms |
scientific article; zbMATH DE number 3877273
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A duality for representation by quadratic forms |
scientific article; zbMATH DE number 3877273 |
Statements
A duality for representation by quadratic forms (English)
0 references
1984
0 references
In a recent paper [Mat. Sb., Nov. Ser. 122(164), No.1(9), 3-11 (1983; Zbl 0527.10017)] \textit{A. N. Andrianov} proved a certain duality relation for positive definite quadratic forms over \({\mathbb{Z}}\). The present paper generalizes this to totally positive definite quadratic forms over an algebraic number field and considers also the case of positive definite Hermitian forms and indefinite quadratic forms. The proofs do not invoke Siegel's main theorem itself, in contrast to Andrianov's paper.
0 references
duality relation
0 references
totally positive definite quadratic forms
0 references
positive definite Hermitian forms
0 references
indefinite quadratic forms
0 references
Siegel's main theorem
0 references
