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math.NT2025
A generalization of Dumas irreducibility criterion
Jitender Singh
Using Newton polygons, a key factorization result for polynomials over discrete valuation domains is proved, which in particular yields new irreducibility criteria including a gene…
math.NT2025
Some factorization results for formal power series
Rishu Garg, Jitender Singh
In this paper, we obtain some factorization results on formal power series over principle ideal domains with sharp bounds on number of irreducible factors. These factorization resu…