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)|
|Number of pages||16|
|Journal||Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie|
|State||Published - Jan 1 2016|
- Farey fractions.
- Ford circles
ASJC Scopus subject areas