Irreducibility via location of zeros

2023/09/15 by Jitender Singh, Sanjeev Kumar, Singh, Jitender +1
Mathematics · #11C08 #12E05 #26C10 #26D05 #30A10 #30C15 #Algebraic Geometry (math.AG) #Analytic and geometric function theory #FOS: Mathematics #Mathematical functions and polynomials #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2309.08502

openalex publication_date 2023/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain several new classes of irreducible polynomials having integer coefficients whose zeros lie inside an open disk around the origin or outside a closed annular region in the complex plane. Such irreducible polynomials are devised by imposing Perron--type sufficiency conditions on their coefficients.

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