Irreducible values of polynomials

Details Irreducible values of polynomials Irreducible values of polynomials

2010-05-25

arxiv.org/abs/1005.4528v2

Mathematics

Number Theory

The paper was shorten, some errors were corrected

Scientific paper

Schinzel's Hypothesis H is a general conjecture in number theory on prime values of polynomials that generalizes, e.g., the twin prime conjecture and Dirichlet's theorem on primes in arithmetic progression. We prove an arithmetic analog of this conjecture for polynomial rings over pseudo algebraically closed fields. This implies results over large finite fields. A main tool in the proof is an irreducibility theorems \`a la Hilbert.

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