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SUMMARY:Maria Siskaki (University of Illinois at Urbana-Champaign)
DTSTART:20210921T123000Z
DTEND:20210921T133000Z
DTSTAMP:20260423T040001Z
UID:OWNS/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/56/">Th
 e distribution of reduced quadratic irrationals arising from continued fra
 ction expansions</a>\nby Maria Siskaki (University of Illinois at Urbana-C
 hampaign) as part of One World Numeration seminar\n\n\nAbstract\nIt is kno
 wn that the reduced quadratic irrationals arising from regular continued f
 raction expansions are uniformly distributed when ordered by their length 
 with respect to the Gauss measure. In this talk\, I will describe a number
  theoretical approach developed by Kallies\, Ozluk\, Peter and Snyder\, an
 d then by Boca\, that gives the error in the asymptotic behavior of this d
 istribution. Moreover\, I will present the respective result for the distr
 ibution of reduced quadratic irrationals that arise from even (joint work 
 with F. Boca) and odd continued fractions.\n
LOCATION:https://researchseminars.org/talk/OWNS/56/
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