4 papers
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…
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…
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…
Prime numbers and factorization of polynomials
Jitender Singh
In this article, we obtain upper bounds on the number of irreducible factors of some classes of polynomials having integer coefficients, which in particular yield some of the well…