Author ORCID Identifier

http://orcid.org/0000-0001-8853-8435

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.

Included in

Mathematics Commons

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