J. Harrington

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20142026

most citedSum index and difference index of graphs

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

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3 papers · 1 filter

math.NT2025

Generalized Sierpiński and Riesel numbers of the form $t b^{t} + α$

Hailey Evans, Joshua Harrington, Kendall Heiney +1

Let $b \geq 2$ be an integer. We call an integer $k$ a $b$ -Sierpiński number if $g cd (k + 1, b - 1) = 1$ and $k \cdot b^{n} + 1$ is composite for all positive integers $n$ . We similarly call $k…

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 ${1, θ, θ^{2}, \dots, θ^{N - 1}}$ …

Generalized Sierpiński and Riesel numbers of the form tbt+α

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

Monogenic Cyclic Polynomials in Recurrence Sequences

Generalized Sierpiński and Riesel numbers of the form $t b^{t} + α$

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