Date of Degree
gauss composition, bhargava, cubic forms, quadratic forms, composition laws
The goal of the thesis is to establish composition laws for binary cubic forms. We will describe both the rational law and the integral law. The rational law of composition is easier to describe. Under certain conditions, which will be stated in the thesis, the integral law of composition will follow from the rational law. The end result is a new way of looking at the law of composition for integral binary cubic forms.
Yassiyevich, Gennady, "Arithmetic of Binary Cubic Forms" (2020). CUNY Academic Works.