4 citations · 8 across the 6 of their papers we have counts for
6 papers
Bhargava factorials and irreducibility of integer-valued polynomials
Devendra Prasad
The ring of integer-valued polynomials over a given subset of (or is defined as the set of polynomials in $\Q[x]$ which maps to . In factor…
Irreducibility of integer-valued polynomials in several variables
Devendra Prasad
Let be an arbitrary subset of where is a domain with the field of fractions $\K$. Denote the ring of polynomials in variables over $\K$ by $\K[\x].$ The ring of i…
Irreducibility of integer-valued polynomials I
Devendra Prasad
Let be an arbitrary subset of a unique factorization domain and $\K$ be the field of fractions of . The ring of integer-valued polynomials over is the set…
A generalization of Selfridge's question
Devendra Prasad
Selfridge asked to investigate the pairs of natural numbers for which divides for all integers This question was answered by different mathemat…
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 where is a Dedekind domain and is a positive integer. We t…
A Survey on Fixed Divisors
Devendra Prasad, Krishnan Rajkumar, A. Satyanarayana Reddy
In this article, we compile the work done by various mathematicians on the topic of the fixed divisor of a polynomial. This article explains most of the results concisely and is in…