BYU

Abstract by Abigail Jones

Personal Infomation


Presenter's Name

Abigail Jones

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Michael Griffin

Title

Quadratic Forms

Abstract

An integer binary quadratic form is a function of the form ax^2 + bxy + cy^2, with integer coefficients. Two forms with the same discriminant are equivalent if they can be transformed into each other by a certain type of change of variables. The number of equivalence classes under this relation is called the class number of the discriminant of that class. In this presentation, I will talk about some background on quadratic forms and discuss some questions for future research regarding the class number.