Abstract
We define and study a new family of parabolas in connection with Ford circles and discover some interesting properties that they have. Using these properties, we provide an application of such a family. This application, which establishes an asymptotic estimate for the L2 norm of a set of parabolas, proves useful in connection with recent work done by Kunik.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 159-174 |
| Number of pages | 16 |
| Journal | Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie |
| Volume | 59 |
| Issue number | 2 |
| State | Published - 2016 |
| Externally published | Yes |
Keywords
- Farey fractions.
- Ford circles
- Parabolas
ASJC Scopus subject areas
- General Mathematics