Dirichlet’s theorem for polynomial rings
نویسندگان
چکیده
منابع مشابه
Dirichlet’s Theorem for Polynomial Rings
We prove the following form of Dirichlet’s theorem for polynomial rings in one indeterminate over a pseudo algebraically closed field F . For all relatively prime polynomials a(X), b(X) ∈ F [X] and for every sufficiently large integer n there exist infinitely many polynomials c(X) ∈ F [X] such that a(X) + b(X)c(X) is irreducible of degree n, provided that F has a separable extension of degree n.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2008
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-08-09474-4