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SUMMARY:Gerardo González Robert (Universidad Nacional Autónoma de Méxic
 o)
DTSTART:20210216T133000Z
DTEND:20210216T143000Z
DTSTAMP:20260423T021409Z
UID:OWNS/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/33/">Go
 od's Theorem for Hurwitz Continued Fractions</a>\nby Gerardo González Rob
 ert (Universidad Nacional Autónoma de México) as part of One World Numer
 ation seminar\n\n\nAbstract\nIn 1887\, Adolf Hurwitz introduced a simple p
 rocedure to write any complex number as a continued fraction with Gaussian
  integers as partial denominators and with partial numerators equal to 1. 
 While similarities between regular and Hurwitz continued fractions abound\
 , there are important differences too (for example\, as shown in 1974 by R
 . Lakein\, Serret's theorem on equivalent numbers does not hold in the com
 plex case). In this talk\, after giving a short overview of the theory of 
 Hurwitz continued fractions\, we will state and sketch the proof of a comp
 lex version of I. J. Good's theorem on the Hausdorff dimension of the set 
 of real numbers whose regular continued fraction tends to infinity. Finall
 y\, we will discuss some open problems.\n
LOCATION:https://researchseminars.org/talk/OWNS/33/
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