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Some factorization results on polynomials having integer coefficients

Number Theory 2024-01-17 v1 Commutative Algebra Algebraic Geometry

Abstract

In this article, we prove some factorization results for several classes of polynomials having integer coefficients, which in particular yield several classes of irreducible polynomials. Such classes of polynomials are devised by imposing some sufficiency conditions on their coefficients along with some conditions on the prime factorization of constant term or the leading coefficient of the underlying polynomials in conjunction with the information about their root location.

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Cite

@article{arxiv.2311.15611,
  title  = {Some factorization results on polynomials having integer coefficients},
  author = {Jitender Singh and Rishu Garg},
  journal= {arXiv preprint arXiv:2311.15611},
  year   = {2024}
}

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8 pages