G. Kapetanakis

activity

20172026

most citedFinite field extensions with the line or translate property for

r

-primitive elements

3 citations · 4 across the 17 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.NT2024

Existence of Special Types Primitive Pairs in Finite Fields Avoiding Affine Hyperplanes

Himangshu Hazarika, Giorgos Kapetanakis, Dhiren Kumar Basnet

Let $\Fm$ be finite fields of order $q^{m}$ , where $m \geq 2$ and $q$ , a prime power. Given $\F$-affine hyperplanes $A_{1}, \dots, A_{m}$ of $\Fm$ in general position, we study the existe…

math.NT2024

Normal points on Artin-Schreier curves over finite fields

Giorgos Kapetanakis, Lucas Reis

In 2022, S.D. Cohen and the two authors introduced and studied the concept of $(r, n)$ -freeness on finite cyclic groups $G$ for suitable integers $r, n$ , which is an arithmetic way…

math.NT2024

$F_{q}$ -primitive points on varieties over finite fields

Soniya Takshak, Giorgos Kapetanakis, Rajendra Kumar Sharma

Let $r$ be a positive divisor of $q - 1$ and $f (x, y)$ a rational function of degree sum $d$ over $F_{q}$ with some restrictions, where the degree sum of a rational function $f…

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…

Existence of Special Types Primitive Pairs in Finite Fields Avoiding Affine Hyperplanes

Normal points on Artin-Schreier curves over finite fields

Fq​-primitive points on varieties over finite fields

Existence of primitive normal pairs over finite fields with prescribed subtrace

$F_{q}$ -primitive points on varieties over finite fields