Stephen D. Cohen

collaborators

2 papers

math.NT2026

Consecutive non-square non-primitive pairs in a finite field

Stephen D. Cohen

Let $q$ be an odd prime power and write \[ Î¸_q := \frac{Ï(q-1)}{q-1}. \] If $I^¸_{q} < \frac{1}{3}$ , or if $I^¸_{q} = \frac{1}{3}$ and $q \in / {7, 13, 19, 25, 37}$ , then the finite f…

math.RA2025

Finite fields whose members are the sum of a potent and a 4-potent

Stephen D. Cohen, Peter V. Danchev, TomÃ¡s Oliveira e Silva

We classify those finite fields $F_{q}$ , for $q$ a power of some fixed prime number, whose members are the sum of an $n$ -potent element with $n > 1$ and a 4-potent element. It…