On the irreducible factors of a polynomial over a valued field.
| Autor: | Jakhar, Anuj |
|---|---|
| Jazyk: | angličtina |
| Předmět: | |
| Druh dokumentu: | Non-fiction |
| Abstrakt: | Abstract: We explicitly provide numbers $d$, $e$ such that each irreducible factor of a polynomial $f(x)$ with integer coefficients has a degree greater than or equal to $d$ and $f(x)$ can have at most $e$ irreducible factors over the field of rational numbers. Moreover, we prove our result in a more general setup for polynomials with coefficients from the valuation ring of an arbitrary valued field. |
| Databáze: | Katalog Knihovny AV ČR |
| Externí odkaz: |
|