H. Sharma

activity

20192026

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math.NT2024

Existence of primitive normal pairs over finite fields with prescribed subtrace

K. Chatterjee, G. Kapetanakis, H. Sharma +1

Given positive integers $q, n, m$ and $a \in F_{q}$ , where $q$ is an odd prime power and $n \geq 5$ , we investigate the existence of a primitive normal pair $(ε, f (ε))$ in $\mat…

math.NT2024

Arithmetic progression in a finite field with prescribed norms

Kaustav Chatterjee, Hariom Sharma, Aastha Shukla +1

Given a prime power $q$ and a positive integer $n$ , let $F_{q^{n}}$ represents a finite extension of degree $n$ of the finite field $F_{q}$ . In this article, we…