2010/05/25 by Lior Bary‐Soroker, Lior Bary-Soroker, Bary-Soroker, Lior
Computer Science · Mathematics · #11T55 #12E30 (Primary) 12E25 #12F10 (Secondary) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11T55 #msc:12E25 #msc:12E30 #msc:12F10
paper · pdf · doi:10.48550/arxiv.1005.4528
The paper was shorten, some errors were corrected
openalex publication_date 2010/05/25 · arxiv created 2010/09/20 · arxiv updated 2010/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 à la Hilbert.