On irreducibles in the polynomial semigroup (Q996723)
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: On irreducibles in the polynomial semigroup |
scientific article; zbMATH DE number 5172611
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On irreducibles in the polynomial semigroup |
scientific article; zbMATH DE number 5172611 |
Statements
On irreducibles in the polynomial semigroup (English)
0 references
19 July 2007
0 references
The author investigates the asymptotic behaviour of the number of irreducible polynomials over a finite field in arithmetic progressions. The main result is a version of the prime number theorem with remainder term extending on earlier result of \textit{D. Hensley} [Pac. J. Math. 123, 93--101 (1986; Zbl 0582.12010)]. The proof runs along classical lines using suitable \(L\)-series.
0 references
Polynomial semigroup
0 references
Irreducible polynomials
0 references
Arithmetic progressions
0 references
