H. Sharma

activity

20192021

collaborators

3 papers

math.NT2021

Existence of Primitive Normal Pairs with One Prescribed Trace over Finite Fields

Hariom Sharma, R. K. Sharma

Given $m, n, q \in N$ such that $q$ is a prime power and $m \geq 3$ , $a \in F_{q}$ , we establish a sufficient condition for the existence of primitive pair $(α, f (α))$ …

math.NT2020

Existence of Primitive Pairs with Prescribed Traces over Finite Fields

Hariom Sharma, R. K. Sharma

Let $F = F_{q^{m}}$ , $m > 6$ , $n$ a positive integer, and $f = p / q$ with $p$ , $q$ co-prime irreducible polynomials in $F [x]$ and deg $(p)$ $+$ deg $(q) = n$ . A sufficient condition h…

math.NT2019

Primitive values of rational functions at primitive elements of a finite field

Stephen D. Cohen, Hariom Sharma, Rajendra Sharma

Given a prime power $q$ and an integer $n \geq 2$ , we establish a sufficient condition for the existence of a primitive pair $(α, f (α))$ where $α \in F_{q}$ and $f(x) \in \mathb…