Seminar Details
Where is the Spiral?
- Start Date: December 12, 2019
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Fernando Chamizo - Universidad Autónoma de Madrid
- Event Location: Conference Room 705 | Rutgers University | Hill Center | 110 Frelinghuysen Rd
- Presentation Type: Stand Alone Presentation
- Abstract:
It is a known fact that the partial sums of some trigonometric series generate appealing patterns when plotted as points in the complex plane. The usual explanation is based on variants of the stationary phase approximation employed in analytic number theory. In a simple case, the theory predicts an Archimedean spiral, but the computer shows a very different experimental truth. It turns out that at least for integer values of a parameter the computer plot can be explained solving a curious recurrence relation.
[Joint work with D. Raboso].