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Irreducibility via location of zeros

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arxiv 2309.08502 v2 pith:YDKKRDW3 submitted 2023-09-15 math.NT math.AG

classification math.NTmath.AG
keywords coefficientsirreduciblepolynomialszerosannulararoundclassesclosed
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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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