Eva Goedhart, Franklin & Marshall College
Authors: Maila Brucal-Hallare, Ryan Max Riley, Vaishavi Sharma, Bianca Thompson
2023 AWM Research Symposium
Rethinking Number Theory [Organized by Deewang Bhamidipati, Eva Goedhart, and Amita Malik]

Visualizations often make complicated mathematical structures easier to comprehend. In this presentation, I will show how our team used the structure of an infinite tree to understand the solutions to a family of Diophantine equations of the form $x^s+D=2^t y$ for a fixed constant $D$, with solutions where $y$ is odd, $s\in\{2,3\}$, and $t\in\mathbb{N}$.

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