Department of Mathematics and Statistics

Number Theory

Hermite Constants for Real Quadratic Fields

hermite constant disc

The Hermite constant for the ring of integers in real quadratic fields $\mathbb{Q}(\sqrt{d})$ for square-free positive integers $d$ are plotted above. The color of each point signifies the class number of the field. This is part of a current project of D. Yasaki into scaled trace forms over real quadratic fields.