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arXiv · 2505.08549

A generalization of Dumas irreducibility criterion

Jitender Singh
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Abstract

Using Newton polygons, a key factorization result for polynomials over discrete valuation domains is proved, which in particular yields new irreducibility criteria including a generalization of the classical irreducibility criterion of Dumas.

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Jitender Singh. 2025-05-13. A generalization of Dumas irreducibility criterion. https://doi.org/10.1007/s00013-026-02249-8

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