| Title | Date | Views | Brief Description |
|---|
| Enumeration of quadratic forms over totally real fields |
2012 |
2408 |
Let F be a real quadratic field with OF its ring of integers. Let f be a quadratic form over F with discriminant D. Using Koecher Theory and the generalized Voronoï Algorithm, we show that there are finitely many quadratic forms with discriminant D o... |
| A geometric generalization of continued fractions for imaginary quadratic fields |
2021 |
271 |
The Euclidean Algorithm for the integers is well known and yields a finite continued fraction expansion for each rational number. Geometrically, successive convergents in this expansion correspond to endpoints of edges in the Farey tessellation of th... |
| Computational aspects of Bianchi modular forms |
2023 |
84 |
Bianchi modular forms are a generalization of classical modular forms to imaginary quadratic fields. The study of computational aspects of Bianchi modular forms started in the 1980s by Elstrodt, Grunewald, and Mennicke. John Cremona and several of hi... |