Quadratic forms on \(\mathbb{F}_{2^ h} [T]\) (Q1804971)
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: Quadratic forms on \(\mathbb{F}_{2^ h} [T]\) |
scientific article; zbMATH DE number 751314
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic forms on \(\mathbb{F}_{2^ h} [T]\) |
scientific article; zbMATH DE number 751314 |
Statements
Quadratic forms on \(\mathbb{F}_{2^ h} [T]\) (English)
0 references
4 May 1995
0 references
Let \(\mathbb{F}\) be a finite field of characteristic 2, and \(R = \mathbb{F} [T]\). For \(M \in R\), representations \(M = A_1 B_1 + \cdots + A_r B_r\) and \(M = X^2 + A_1 B_1 + \cdots + A_r B_r\) with polynomials \(A_i\), \(B_i \in R\) of degree \(\leq (\deg (M) + 1)/2\) are studied. Using the circle method, asymptotic formulae for the number of representations are developed.
0 references
finite field
0 references
circle method
0 references
asymptotic formulae
0 references
number of representations
0 references
