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20192023
most citedA Generalization of Girstmair's Irreducibility Criterion

3 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

math.NT2023

On a factorization result of Ştefănescu -- II

Sanjeev Kumar, Jitender Singh

Ştefănescu proved an elegant factorization result for polynomials over discrete valuation domains [CASC'2014, Lecture Notes in Computer Science, Ed. by V. Gerdt, W. Koepf, W. Mayr,…

math.NT2022

Another irreducibility criterion

Jitender Singh, Sanjeev Kumar

Let be a primitive polynomial. Suppose that there exists a positive real number such that $|a_m| α^m>|a_0|+|a_1|α+\cdots+|a_{m-1}|α…

math.NT2021

On a factorization result of Ştefănescu

Sanjeev Kumar, Jitender Singh

In this article, some factorization properties of polynomials over discrete valuation domains are elucidated. These properties along with the notion of Newton index of a polynomial…

math.HO2019★ 3 cited

A Generalization of Girstmair's Irreducibility Criterion

Jitender Singh, Sanjeev Kumar

Girstmair in [1, Theorem 1] gave a generalization of Murty's irreducibility criterion (see [2, Theorem 1]). In this article, we further generalize these criteria.

math.NT2019

A New Class of Irreducible Polynomials

Jitender Singh, Sanjeev Kumar

In this article, we propose a few sufficient conditions on polynomials having integer coefficients all of whose zeros lie outside a closed disc centered at the origin in the comple…

math.NT2019

On an Irreducibility Criterion of Anca I. Bonciocat and Nicolae C. Bonciocat

Sanjeev Kumar, Jitender Singh

There is an error in the main result. We provide an easy generalization to the irreducibility criterion in the title.