A generalization of Dumas irreducibility criterion

2025/05/13 by Singh, Jitender · 2 citations
#11C08 #12E05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2505.08549

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.

Citations

• A New Class of Irreducible Polynomials

Cited by

• On irreducible factors of polynomials over integers
• A generalized Dumas irreducibility criterion

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