On the irreducible factors of a polynomial over a valued field.
Autor: | Jakhar, Anuj |
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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 |
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