4 citations · 5 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Some factorization results for bivariate polynomials
Nicolae Ciprian Bonciocat, Rishu Garg, Jitender Singh
We provide upper bounds on the total number of irreducible factors, and in particular irreducibility criteria for some classes of bivariate polynomials over an arbitrary f…
Some factorization results on polynomials having integer coefficients
Jitender Singh, Rishu Garg
In this article, we prove some factorization results for several classes of polynomials having integer coefficients, which in particular yield several classes of irreducible polyno…