E. Goedhart

collaborators

2 papers

math.NT2021

Solving Quadratic and Cubic Diophantine Equations using 2-adic Valuation Trees

Maila Brucal-Hallare, Eva G. Goedhart, Ryan Max Riley +2

For fixed integers $D \geq 0$ and $c \geq 3$ , we demonstrate how to use $2$ -adic valuation trees of sequences to analyze Diophantine equations of the form $x^{2} + D = 2^{c} y$ and $x^3+D=2…

math.NT2019

Sequences of consecutive factoradic happy numbers

Joshua Carlson, Eva G. Goedhart, Pamela E. Harris

Given a positive integer $n$ , the factorial base representation of $n$ is given by $n = \sum_{i = 1}^{k} a_{i} \cdot i!$ , where $a_{k} \neq = 0$ and $0 \leq a_{i} \leq i$ for all $1 \leq i \leq k$ . For…