Lenny Jones

activity

20232026

most citedMonogenic Quartic Polynomials and Their Galois Groups

6 citations · 8 across the 19 of their papers we have counts for

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5 papers · 1 filter

math.NT2025

Monogenic Strictly-Perron Polynomials

Lenny Jones

A monic polynomial $f (x) \in Z [x]$ of degree $n$ is called monogenic if $f (x)$ is irreducible over $Q$ and ${1, θ, θ^{2}, \dots, θ^{n - 1}}$ is a basis for the ring…

math.NT2025

Monogenic sextic trinomials $x^{6} + A x^{3} + B$ and their Galois groups

Joshua Harrington, Lenny Jones

Let $f (x) = x^{6} + A x^{3} + B \in Z [x]$ , with $A \neq = 0$ , and suppose that $f (x)$ is irreducible over $Q$ . We define $f (x)$ to be {\em monogenic} if $\{1,θ,θ^2,θ^3,θ^4,θ^{5…

math.NT2025

Monogenic Cyclic Polynomials in Recurrence Sequences

Joshua Harrington, Lenny Jones

Let $f (x) \in Z [x]$ be an $N$ th degree polynomial that is monic and irreducible over $Q$ . We say that $f (x)$ is {\em monogenic} if ${1, θ, θ^{2}, \dots, θ^{N - 1}}$ …

math.NT2025

Monogenic Reciprocal Quartic Polynomials And Their Galois Groups

Lenny Jones

Suppose that $f (x) = x^{4} + A x^{3} + B x^{2} + A x + 1 \in Z [x]$ . We say that $f (x)$ is monogenic if $f (x)$ is irreducible over $Q$ and ${1, θ, θ^{2}, θ^{3}}$ is a basis for the ring…

math.NT2025

Monogenic Even Cyclic Sextic Polynomials

Lenny Jones

Suppose that $f (x) \in Z [x]$ is monic and irreducible over $Q$ of degree $N$ . We say that $f (x)$ is monogenic if ${1, θ, θ^{2}, \dots, θ^{N - 1}}$ is a basis for the…

Monogenic Strictly-Perron Polynomials

Monogenic sextic trinomials x6+Ax3+B and their Galois groups

Monogenic Cyclic Polynomials in Recurrence Sequences

Monogenic Reciprocal Quartic Polynomials And Their Galois Groups

Monogenic Even Cyclic Sextic Polynomials

Monogenic sextic trinomials $x^{6} + A x^{3} + B$ and their Galois groups