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Experimental Mathematics Seminar

Automagic Inverse Continued Fraction Calculators

Robert Dougherty-Bliss, Rutgers University

Location:  via ZOOM, link https://rutgers.zoom.us/j/94346444480 [password: 6564120420 ]
Date & time: Thursday, 24 September 2020 at 5:00PM - 6:00PM

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.