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arXiv · 1304.0874

Sch\"onemann-Eisenstein-Dumas-type irreducibility conditions that use arbitrarily many prime numbers

Nicolae Ciprian Bonciocat
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Abstract

The famous irreducibility criteria of Sch\"onemann-Eisenstein and Dumas rely on information on the divisibility of the coefficients of a polynomial by a single prime number. In this paper we provide several irreducibility criteria of Sch\"onemann-Eisenstein-Dumas-type for polynomials with integer coefficients, criteria that are given by some divisibility conditions for their coefficients with respect to arbitrarily many prime numbers. A special attention will be paid to those irreducibility criteria that require information on the divisibility of the coefficients by two distinct prime numbers.

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BibTeXRIS

Nicolae Ciprian Bonciocat. 2013-04-03. Sch\"onemann-Eisenstein-Dumas-type irreducibility conditions that use arbitrarily many prime numbers. https://arxiv.org/abs/1304.0874

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