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Results tagged with polynomials
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user 407413
Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
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Existence of an irreducible polynomial that does not divide $x^n + a$
As far as I understand, such polynomials do not exist over finite fields.
Apart from the trivial case of $K$ algebraically closed, this is the only negative example I know. … Possibly related:
I have found some papers dealing with possible multiplicative relations between roots of polynomials over certain fields (for example, this one). …
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