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On irreducible polynomials over \(\mathbb Q\) which are reducible over \(\mathbb F_p\) for all \(p\)

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Publication:613521
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DOI10.1216/RMJ-2010-40-5-1377zbMath1222.11124OpenAlexW1983710770MaRDI QIDQ613521

Mohamed Ayad

Publication date: 21 December 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2010-40-5-1377

zbMATH Keywords

trinomialsirreducible polynomialsapplications of Siegel's theorem


Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09)


Related Items

Irreducibility and multiplicative composition of polynomials over finite fields



Cites Work

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  • On Hilbert's irreducibility theorem
  • Addition of sequences in general fields
  • Integer Polynomials that are Reducible Modulo all Primes
  • Cyclotomic Polynomials and Factorization Theorems
  • Critical points, critical values of a prime polynomial
  • Irreducible polynomials which are locally reducible everywhere
  • Some Irreducible Polynomials Which are Reducible MOD P for all p
  • Degrees of Sums in a Separable Field Extension
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