Nicolae Ciprian Bonciocat: On an irreducibility criterion of Perron for multivariate polynomials, p.213-217

Abstract:

We combine a method of L. Panaitopol with some techniques for nonarchimedean absolute values to provide a new proof for an irreducibility criterion of Perron for multivariate polynomials over an arbitrary field.

Key Words: Irreducibility, nonarchimedean absolute value.

2000 Mathematics Subject Classification: Primary: 11R09;
Secondary: 11C08.

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