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DTSTAMP:20260717T190804Z
DESCRIPTION:Title: Pair correlations of fractional parts\n\nAbstract: Given
  a set of natural numbers A\, and a real number $alpha$\, studying the dis
 tribution of the set $alpha A$ modulo 1 has been a central theme in analyt
 ic number theory for over 100 years. One has the classical equidistributio
 n theory of Weyl\, but this talk will be focused instead on the existence 
 (or otherwise) of limiting distributions for the gap-lengths between nearb
 y elements of the set $alpha A$ modulo 1. In certain cases\, such as when 
 $A = {1\,dots\, N}$\, these gap-lengths are very well understood (in this 
 instance by three-gap theorem of Sós and Świerczkowski from the 50s). But 
 what can be said in the case when A is the set of the first N squares\, or
  k^{th} powers\, or primes\, or a more general sequence?\n
DTSTART:20190912T180000Z
DTEND:20190912T190000Z
LOCATION:Librairy Building - room LB 921-4\, CA\, Concordia University
SUMMARY:Aled Walker\, CRM
URL:https://www.mcgill.ca/mathstat/channels/event/aled-walker-crm-300483
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