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Graduate Student Combinatorics Seminar Sponsored by DIMACS

Automagic Inverse Continued Fraction Calculators

Robert Dougherty-Bliss

Location:  Zoom: please email to be added to the mailing list
Date & time: Wednesday, 18 November 2020 at 12:15PM - 1:15PM

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.
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