L. Jones

activity

20042023

most citedA new integral basis for the centre of the Hecke algebra of type A

3 citations · 11 across the 15 of their papers we have counts for

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math.NT2023

On the monogenicity of power-compositional Shanks polynomials

Lenny Jones

Let $f (x) \in Z [x]$ be a monic polynomial of degree $N$ that is irreducible over $Q$ . We say $f (x)$ is \emph{monogenic} if $Θ = {1, θ, θ^{2}, \dots, θ^{N - 1}}$ is a b…

math.NT2023

Generalized Wall-Sun-Sun primes and monogenic power compositional trinomials

Lenny Jones

For positive integers $a$ and $b$ , we let $[U_{n}]$ 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…

math.NT2023

A new condition for $k$ -Wall-Sun-Sun primes

Lenny Jones

Let $k \geq 1$ be an integer, and let $(U_{n})$ 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…

On the monogenicity of power-compositional Shanks polynomials

Generalized Wall-Sun-Sun primes and monogenic power compositional trinomials

A new condition for k-Wall-Sun-Sun primes

A new condition for $k$ -Wall-Sun-Sun primes