This article explores the Birch and Swinnerton-Dyer Conjecture, one of the famous Millennium Prize Problems. In addition to providing the basic theoretic understanding necessary to understand the simplest form of the conjecture, some of the original numerical evidence used to formulate the conjecture is recreated. Recent results and current problems related to the conjecture are given at the end.
Robert Styer, Alice Deanin
"An Introduction to the Birch and Swinnerton-Dyer Conjecture,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 16:
1, Article 15.
Available at: https://scholar.rose-hulman.edu/rhumj/vol16/iss1/15