H. Sharma

activity

20192026

collaborators

8 papers

math.CO2026

Duality, rigidity, and peeling for multisegments: on hypotheses of Mitra, Offen, and Sayag

Hariom Sharma

Mitra, Offen, and Sayag introduced distinguished multisegments and multisegments of Speh type, and proposed that every distinguished multisegment is of Speh type, together with a r…

math.RT2026

Asai Gamma Factors and Distinction in families

Sabyasachi Dhar, Hariom Sharma

Let $F$ be a finite extension of $Q_{p}$ and let $E$ be a quadratic extension of $F$ . A representation $(π, V)$ of $GL_{n} (E)$ is said to be $GL_{n} (F)$ -distinguished…

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…

math.NT2023

A primitive normal pair in a finite field with prescribed traces and norms

Kaustav Chatterjee, Hariom Sharma, Shailesh Kumar Tiwari

Given $F_{p^{t}}$ , a field with $p^{t}$ elements, where $p$ is a prime power, $t$ is a positive integer. Let $f (x)$ be a polynomial over $F_{p^{t}}$ of degree $m$ wit…

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…