Irreducible values of polynomials
Number Theory
2010-09-21 v2
Abstract
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.
Cite
@article{arxiv.1005.4528,
title = {Irreducible values of polynomials},
author = {Lior Bary-Soroker},
journal= {arXiv preprint arXiv:1005.4528},
year = {2010}
}
Comments
The paper was shorten, some errors were corrected