Integer continued fractions for complex numbers
17 days ago
- #Complex Numbers
- #Continued Fractions
- #Number Theory
- Study of a natural extension of standard continued fractions to complex numbers.
- Basic algorithm attributed to Lagrange and Gauss, previously overlooked for creating continued fractions.
- New representations shown to be unique and possess useful properties.
- Admits a geometric cutting sequence interpretation.
- arXivLabs framework allows development and sharing of new arXiv features with community collaborators.