3 citations · 11 across the 15 of their papers we have counts for
19 papers
On the monogenicity of power-compositional Shanks polynomials
Lenny Jones
Let be a monic polynomial of degree that is irreducible over . We say is \emph{monogenic} if is a b…
Generalized Wall-Sun-Sun primes and monogenic power compositional trinomials
Lenny Jones
For positive integers and , we let be the Lucas sequence of the first kind defined by \[U_0=0,\quad U_1=1\quad \mbox{and} \quad U_n=aU_{n-1}+bU_{n-2} \quad \mbox{ fo…
A new condition for -Wall-Sun-Sun primes
Lenny Jones
Let be an integer, and let be the Lucas sequence of the first kind defined by \begin{equation*}\label{Eq:Lucas} U_0=0,\quad U_1=1\quad \mbox{and} \quad U_n=kU_{n-1…
A Connection Between the Monogenicity of Certain Power-Compositional Trinomials and -Wall-Sun-Sun Primes
Lenny Jones
We say that a monic polynomial of degree is monogenic if is irreducible over and \[\{1,θ,θ^2,\ldots, θ^{N-1}\}\] is a basis for th…
The Irreducibility and Monogenicity of Power-Compositional Trinomials
Joshua Harrington, Lenny Jones
A polynomial of degree is called \emph{monogenic} if is irreducible over and is a basis for the ring…
Characteristic Polynomials of Simple Ordinary Abelian Varieties over Finite Fields
Lenny Jones
We provide an easy method for the construction of characteristic polynomials of simple ordinary abelian varieties of dimension over a finite field ${\mathbb F}_q…