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 2019Show all

3 papers · 1 filter

math.NT2019

The translate and line properties for 2-primitive elements in quadratic extensions

Stephen D. Cohen, Giorgos Kapetanakis

Let $r, n > 1$ be integers and $q$ be any prime power $q$ such that $r ∣ q^{n} - 1$ . We say that the extension $F_{q^{n}} / F_{q}$ possesses the line property for $r$ -primit…

math.NT2019★ 3 cited

Finite field extensions with the line or translate property for $r$ -primitive elements

Stephen D. Cohen, Giorgos Kapetanakis

Let $r, n > 1$ be integers and $q$ be any prime power $q$ such that $r ∣ q^{n} - 1$ . We say that the extension $F_{q^{n}} / F_{q}$ possesses the line property for $r$ -primit…

math.NT2019

The trace of 2-primitive elements of finite fields (amended version)

Stephen D. Cohen, Giorgos Kapetanakis

Let $q$ be a prime power and $n, r$ integers such that $r ∣ q^{n} - 1$ . An element of $F_{q^{n}}$ of multiplicative order $(q^{n} - 1) / r$ is called \emph{ $r$ -primitive}. For any o…

The translate and line properties for 2-primitive elements in quadratic extensions

Finite field extensions with the line or translate property for r-primitive elements

The trace of 2-primitive elements of finite fields (amended version)

Finite field extensions with the line or translate property for $r$ -primitive elements