Arithmetic of Binary Cubic Forms

Author

Gennady Yassiyevich, The Graduate Center, City University of New YorkFollow

Date of Degree

2-2020

Document Type

Dissertation

Degree Name

Ph.D.

Program

Mathematics

Advisor

Gautam Chinta

Subject Categories

Number Theory

Keywords

gauss composition, bhargava, cubic forms, quadratic forms, composition laws

Abstract

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.

Recommended Citation

Yassiyevich, Gennady, "Arithmetic of Binary Cubic Forms" (2020). CUNY Academic Works.
https://academicworks.cuny.edu/gc_etds/3605