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 2018Show all

2 papers · 1 filter

math.NT2018

A Swan-like note for a family of binary pentanomials

Giorgos Kapetanakis

In this note, we employ the techniques of Swan (Pacific J. Math. 12(3): 1099-1106, 1962) with the purpose of studying the parity of the number of the irreducible factors of the pen…

math.NT2018

Further results on the Morgan-Mullen conjecture

Theodoulos Garefalakis, Giorgos Kapetanakis

Let $F_{q}$ be the finite field of characteristic $p$ with $q$ elements and $F_{q^{n}}$ its extension of degree $n$ . The conjecture of Morgan and Mullen asserts the e…