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https://doi.org/10.1016/0022-314X(79)90020-9

has been cited by the following article:

• TITLE: Irreducible Polynomials in Ζ[x] That Are Reducible Modulo All Primes

  AUTHORS: Shiv Gupta

  KEYWORDS: Irreducible Polynomial, Reducible Polynomial, Galois Theory

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.9 No.2, April 2, 2019

  ABSTRACT: The polynomial x4+1 is irreducible in Ζ[x] but is locally reducible, that is, it factors modulo p for all primes p. In this paper we investigate this phenomenon and prove that for any composite natural number N there are monic irreducible polynomials in Ζ[x] which are reducible modulo every prime.