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Chae, D., Groos, J., Nguyen, C., Roti, X., Shanaa, S. A Modern Take on the Proof of Jacobi's Four-Square Theorem. Carleton College Bachelor of Arts in Mathematics thesis. You can request a copy here or email me.
Abstract: Modular forms are interesting objects that span through multiple areas of mathematics such as complex analysis, abstract algebra, and analytic number theory. In this paper, we investigate the properties of modular forms and how it relates to the Jacobi's Four-Squares Theorem, which describes the number of ways a given positive integer n could be represented as the sum of four squares.
(For this work, I received special recognition: distinction in COMPS and distinction in major.)