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eisenstein criterion

Proceedings of the Edinburgh Mathematical Society (1)

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A Generalization of the Eisenstein–Dumas–Schönemann Irreducibility Criterion
Part of
Bablesh Jhorar, Sudesh K. Khanduja
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 60 / Issue 4 / November 2017

Published online by Cambridge University Press:

31 January 2017, pp. 937-945
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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.