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#hilbert's_irreducibility_theorem

Hilbert's irreducibility theorem

Result in number theory, concerning irreducible polynomials

In number theory, Hilbert's irreducibility theorem, conceived by David Hilbert in 1892, states that every finite set of irreducible polynomials in a finite number of variables and having rational number coefficients admit a common specialization of a proper subset of the variables to rational numbers such that all the polynomials remain irreducible. This theorem is a prominent theorem in number theory.

Fri 20th

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Hilbert's irreducibility theorem Hilbert's theorem David Hilbert Ax–Grothendieck theorem Irreducible polynomial List of theorems Hilbert's Nullstellensatz Inverse Galois problem Fundamental theorem of algebra Hilbert transform

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