Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields

L. Benferhat, O. Kihel, Jesse Larone, Rezki Ould Mohamed
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Abstract

Abstract The aim of this paper is to provide integral polynomials irreducible over ℤ which are reducible over 𝔽p for every prime p. In particular, we show that certain composed products of integral polynomials are reducible modulo p for all primes p.
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有限域上多项式的不可约性和乘法复合
摘要本文的目的是提供对任意素数p在𝔽p上可约的整数多项式在0上不可约,特别是证明了整数多项式的某些组合积对任意素数p模可约。
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Tatra Mountains Mathematical Publications
Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)
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