D. Prasad

collaborators

3 papers

math.AC2021

Bhargava factorials and irreducibility of integer-valued polynomials

Devendra Prasad

The ring of integer-valued polynomials over a given subset $S$ of $Z$ (or $Int (S, Z))$ is defined as the set of polynomials in $\Q[x]$ which maps $S$ to $Z$ . In factor…

math.AC2021

Irreducibility of integer-valued polynomials in several variables

Devendra Prasad

Let $§$ be an arbitrary subset of $R^{n}$ where $R$ is a domain with the field of fractions $\K$. Denote the ring of polynomials in $n$ variables over $\K$ by $\K[\x].$ The ring of i…

math.RA2018

Fixed Divisor of a Multivariate Polynomial and Generalized Factorials in Several Variables

Devendra Prasad, Krishnan Rajkumar, A. Satyanarayana Reddy

We define new generalized factorials in several variables over an arbitrary subset $S \subseteq R^{n},$ where $R$ is a Dedekind domain and $n$ is a positive integer. We t…