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.
