88 citations
- Physical Research LaboratoryIN21 papers
- Indian Institute of Science BangaloreIN11 papers
- Institute of Mathematical SciencesIN5 papers
- University of Kurdistan HewlerIQ5 papers
- Singidunum UniversityRS4 papers
- Bhabha Atomic Research CentreIN3 papers
- Charles Sturt UniversityAU3 papers
- Kurdistan Institute for Strategic Studies and Scientific Research3 papers
- Kurdistan Regional GovernmentIQ3 papers
- Peking UniversityCN3 papers
- University of HyderabadIN3 papers
- Chinese Academy of SciencesCN2 papers
7 papers · 1 filter
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…
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…
On an arithmetic convolution
Jitender Singh
The Cauchy-type product of two arithmetic functions and on nonnegative integers is defined as . We explore some alge…