Seminar Details
Automagic Inverse Continued Fraction Calculators
- Start Date: September 24, 2020
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Organizers: Doron Zeilberger || Robert Dougherty-Bliss
- Seminar Series: Experimental Math Seminar
- Presenter(s): Robert Dougherty-Bliss - Rutgers University
- Event Location: Online Event
- Event Additional Info: <p>Presented via Zoom</p> <p><a href="https://rutgers.zoom.us/j/94346444480">https://rutgers.zoom.us/j/94346444480</a></p> <p>password: 6564120420</p> <p> </p>
- Presentation Type: Stand Alone Presentation
- Abstract:
The well-exploited theory of SIMPLE continued fractions has produced some dazzling identities and wonderful irrationality proofs. The often-overlooked theory of GENERAL continued fractions is harder to champion, but just as, if not more, interesting. A recent project (viz. The Ramanujan Machine) tried to numerically "fit" general continued fractions to well-known constants, hoping to find very good rational approximations. To highlight the power of symbolic experimentation, I will tour us through automatically proving some of these conjectures and generalizing them to infinite families.