Lenny Jones

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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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7 papers · 1 filter

math.NT2024

Monogenic trinomials and class numbers of related quadratic fields

Lenny Jones

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

math.NT2024

Monogenic cyclic trinomials of the form $x^{4} + c x + d$

Lenny Jones

A monic polynomial $f (x) \in Z [x]$ of degree $n$ that is irreducible over $Q$ is called cyclic if the Galois group over $Q$ of $f (x)$ is the cyclic gro…

math.NT2024

The monogenicity and Galois groups of certain reciprocal quintinomials

Lenny Jones

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

math.NT2024

Monogenic trinomials of the form $x^{4} + a x^{3} + d$ and their Galois groups

Joshua Harrington, Lenny Jones

Let $f (x) = x^{4} + a x^{3} + d \in Z [x]$ , where $a d \neq = 0$ . Let $C_{n}$ denote the cyclic group of order $n$ , $D_{4}$ the dihedral group of order 8, and $A_{4}$ the alternating group of or…

math.NT2024★ 1 cited

Monogenic Even Octic Polynomials and Their Galois Groups

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.NT2024★ 1 cited

Monogenic Cyclic Quartic Trinomials

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…

Monogenic trinomials and class numbers of related quadratic fields

Monogenic cyclic trinomials of the form x4+cx+d

The monogenicity and Galois groups of certain reciprocal quintinomials

Monogenic trinomials of the form x4+ax3+d and their Galois groups

Monogenic Even Octic Polynomials and Their Galois Groups

Monogenic Cyclic Quartic Trinomials

Monogenic cyclic trinomials of the form $x^{4} + c x + d$

Monogenic trinomials of the form $x^{4} + a x^{3} + d$ and their Galois groups