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SUMMARY:Robert Fraser (Wichita State University)
DTSTART:20230411T203000Z
DTEND:20230411T220000Z
DTSTAMP:20260422T174056Z
UID:tandg/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/5/">Fo
 urier analysis in Diophantine approximation</a>\nby Robert Fraser (Wichita
  State University) as part of Topology and Geometry Seminar (Texas\, Kansa
 s)\n\n\nAbstract\nA real number $x$ is said to be <em>normal</em> if the s
 equence $a^n x$ is uniformly distributed modulo 1 for every integer $a≥2
 $.\nAlthough Lebesgue-almost all numbers are normal\, the problem determin
 ing whether specific irrational numbers such as $e$ and $π$ are normal is
  extremely difficult.\nHowever\, techniques from Fourier analysis and geom
 etric measure theory can be used to show that certain “thin” subsets o
 f $\\mathbb{R}$ must contain normal numbers.\n
LOCATION:https://researchseminars.org/talk/tandg/5/
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