Hilbert's irreducibility theorem | Wikipedia audio article
Channel: wikipedia tts
Date: 31/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Hilbert%27s_irreducibility_theorem


00:00:29 1 Formulation of the theorem
00:04:32 2 Applications
00:05:00 3 Generalizations
00:05:38 4 References
00:07:45 r
00:08:39 Generalizations



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SUMMARY
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In number theory, Hilbert's irreducibility theorem, conceived by David Hilbert, states that every finite number 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.