# A New Class of Irreducible Polynomials

## TL;DR

This paper introduces new sufficient conditions for polynomials with integer coefficients, whose zeros lie outside a specific disk in the complex plane, to be irreducible over the integers.

## Contribution

It provides novel criteria for irreducibility of polynomials based on the location of their zeros in the complex plane.

## Key findings

- Established sufficient conditions for irreducibility
- Connected zero location with polynomial irreducibility
- Extended understanding of polynomial irreducibility criteria

## 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.