Automagic Inverse Continued Fraction Calculators
September 24, 2020, 5:00 PM - 6:00 PM
Location:
Online Event
Organizer(s):
Robert Dougherty-Bliss, Rutgers University
Doron Zeilberger, Rutgers University
Robert Dougherty-Bliss, Rutgers University
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.