# Hilbert's irreducibility theorem

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.

## Words

This table shows the example usage of word lists for keywords extraction from the text above.

Word | Word Frequency | Number of Articles | Relevance |
---|---|---|---|

irreducibility | 3 | 23 | 0.572 |

theorem | 5 | 4782 | 0.543 |

hilbert's | 2 | 158 | 0.322 |

irreducible | 2 | 330 | 0.299 |

hilbert | 2 | 634 | 0.279 |