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Results tagged with fields
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user 407413
Fields as algebraic objects. For vector and tensor fields, use eg. [dg.differential-geometry]. For physical fields, use eg. [mp.mathematical-physics] or [quantum-field-theory].
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Existence of an irreducible polynomial that does not divide $x^n + a$
The question:
Can one characterize all fields $K$ over which there exists an irreducible polynomial $f(x)$ that does not divide a polynomial of the form $x^n + a$? … 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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