# Waring's Problem for Squares of the Hurwitz Quaternions

## Location

**PANEL: Learning About & Learning Through Machines and Solving Problems**

Science Center A254

## Document Type

Presentation

## Start Date

4-26-2024 3:00 PM

## End Date

4-26-2024 4:00 PM

## Abstract

This paper considers sums of squares in quaternion rings with integral or half-integral coefficients and proves global bounds on the minimum number of squares needed to represent any such quaternion as the sum of squares.

## Keywords:

Mathematics, Number theory

## Recommended Citation

Cory, Miriam, "Waring's Problem for Squares of the Hurwitz Quaternions" (2024). *Research Symposium*. 15.

https://digitalcommons.oberlin.edu/researchsymp/2024/presentations/15

## Major

Mathematics

## Project Mentor(s)

Benjamin Linowitz, Mathematics

2024

Waring's Problem for Squares of the Hurwitz Quaternions

**PANEL: Learning About & Learning Through Machines and Solving Problems**

Science Center A254

This paper considers sums of squares in quaternion rings with integral or half-integral coefficients and proves global bounds on the minimum number of squares needed to represent any such quaternion as the sum of squares.