Author ORCID Identifier
Degree Year
2022
Document Type
Thesis - Open Access
Degree Name
Bachelor of Arts
Department
Mathematics
Keywords
Jacobi's Four Squares Theorem, Four-Square Theorem, Jacobi, Lagrange's Four-Square Theorem, Modular forms, Theta-function
Abstract
Jacobi’s Four Squares Theorem is a celebrated result of number theory that provides a formula for the number of ways a positive integer n can be written as a sum of four integral squares. In this paper, we prove this theorem using the theory of modular forms.
Repository Citation
Yagci, Arman, "Jacobi's Four Squares Theorem" (2022). Honors Papers. 844.
https://digitalcommons.oberlin.edu/honors/844