English

A New Class of Irreducible Polynomials

Number Theory 2019-08-23 v3 Commutative Algebra

Abstract

In this article, we propose a few sufficient conditions on polynomials having integer coefficients all of whose zeros lie outside a closed disc centered at the origin in the complex plane and deduce the irreducibility over the ring of integers.

Keywords

Cite

@article{arxiv.1908.05587,
  title  = {A New Class of Irreducible Polynomials},
  author = {Jitender Singh and Sanjeev Kumar},
  journal= {arXiv preprint arXiv:1908.05587},
  year   = {2019}
}

Comments

The earlier version contains a typo error in Eq. 10. which has been corrected in the present version

R2 v1 2026-06-23T10:48:21.054Z