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 2023Show all

3 papers · 1 filter

math.HO2023

Teaching perspectives of the Frobenius coin problem of two denominators

Giorgos Kapetanakis, Ioannis Rizos

Let $a, b$ be positive, relatively prime, integers. Our goal is to characterize, in an elementary way, all positive integers $c$ that can be expressed as a linear combination of $a,…

math.NT2023

An inductive proof of the Frobenius coin problem of two denominations

Giorgos Kapetanakis, Ioannis Rizos

Let $a, b$ be positive, relatively prime, integers. We prove, using induction, that for every $d > ab - a - b$ there exist $x, y \in Z_{\geq 0}$ , such that $d = a x + b y$ . As a byprodu…

math.NT2023

Primitive normal pairs of elements with one prescribed trace

Arpan Chandra Mazumder, Himangshu Hazarika, Dhiren Kumar Basnet +1

Let $q, n, m \in N$ such that $q$ is a prime power, $m \geq 3$ and $a \in F$ . We establish a sufficient condition for the existence of a primitive normal pair ($α…