BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250709T193846EDT-4951Vp9Mib@132.216.98.100 DTSTAMP:20250709T233846Z 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:/mathstat/channels/event/aled-walker-crm-300483 END:VEVENT END:VCALENDAR