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math.NT2026
A generalized Dumas irreducibility criterion
Rishu Garg, Jitender Singh
As an extension of the classical irreducibility result of Dumas, a factorization result for polynomials over any valued field with a Krull valuation of arbitrary rank is proved. Fu…
math.NT2025
On irreducible factors of polynomials over integers
Rishu Garg, Jitender Singh
In this paper, we obtain several new factorization results for certain classes of polynomials having integer coefficients. In doing so, we use the information about prime factoriza…
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…