A. Reddy

activity

20112023

n

with

x

zeros and longest

k

-runs of zeros

5 citations · 18 across the 20 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.NT2019

Irreducibility criterion for certain trinomials

Biswajit Koley, A. Satyanarayana Reddy

In this article we study the irreducibility of polynomials of the form $x^{n} + ε_{1} x^{m} + p^{k} ε_{2}$ , $p$ being a prime number. We will show that they are irreducible for $m = 1$ . We have als…

math.GM2019

Number of non-primes in the set of units modulo $n$

Abhijit A J, A. Satyanarayana Reddy

In this work, we studied various properties of arithmetic function $φ ~$ , where $\tildeφ(n)=|\{m\in \mathbb{N} | 1\le m\le n, (m,n)=1, \mbox{$m$ is not a prime}\}|.$

math.NT2019★ 2 cited

An irreducibility criterion for polynomials over integers

Biswajit Koley, A. Satyanarayana Reddy

In this article, we consider the polynomials of the form $f (x) = a_{0} + a_{1} x + a_{2} x^{2} + \dots + a_{n} x^{n} \in Z [x],$ where $∣ a_{0} ∣ = ∣ a_{1} ∣ + \dots + ∣ a_{n} ∣$ and $∣ a_{0} ∣$ is a prime. We show that…

math.CO2019

A Note on the Exponents of Primitive Companion Matrices

Monimala Nej, A. Satyanarayana Reddy

A nonnegative matrix $A$ is said to be {\it primitive} if for some positive integer $m$ , entries in $A^{m}$ are positive, notationally represented as $A^{m} > 0.$ The smallest such $m$ i…

Irreducibility criterion for certain trinomials

Number of non-primes in the set of units modulo n

An irreducibility criterion for polynomials over integers

A Note on the Exponents of Primitive Companion Matrices

Number of non-primes in the set of units modulo $n$