Degree Year
2024
Document Type
Thesis - Oberlin Community Only
Degree Name
Bachelor of Arts
Department
Mathematics
Advisor(s)
Benjamin Linowitz
Committee Member(s)
Rachel Diethorn
Marie Snipes
Keywords
Number theory, Waring's problem, Algebraic number theory, Rational quaternions
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.
Repository Citation
Cory, Miriam, "Waring's Problem for Squares of the Hurwitz Quaternions" (2024). Honors Papers. 907.
https://digitalcommons.oberlin.edu/honors/907
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