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A Generalization of the Eisenstein–Dumas–Schönemann Irreducibility Criterion
Published online by Cambridge University Press: 31 January 2017
Abstract
In 2013, Weintraub gave a generalization of the classical Eisenstein irreducibility criterion in an attempt to correct a false claim made by Eisenstein. Using a different approach, we prove Weintraub's result with a weaker hypothesis in a more general setup that leads to an extension of the generalized Schönemann irreducibility criterion for polynomials with coefficients in arbitrary valued fields.
MSC classification
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 60 , Issue 4 , November 2017 , pp. 937 - 945
- Copyright
- Copyright © Edinburgh Mathematical Society 2017
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