BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251122T012902EST-3378NpruNu@132.216.98.100 DTSTAMP:20251122T062902Z DESCRIPTION:Title:Prime Geodesic Theorem in the 3-dimensional Hyperbolic Sp ace\n\n\n Abstract: On hyperbolic manifolds the lengths of primitive closed geodesics (prime geodesics) have many similarities with the usual prime n umbers. In particular\, they obey an asymptotic distribution analogous to the Prime Number Theorem. The error in this estimation is well-studied in two dimensions. In three dimensions the only unconditional non-trivial est imate is by Sarnak. In this talk we show how to improve on Sarnak's pointw ise bound for the error term. We also investigate the second moment of the error term and highlight some of the difficulties compared to the two dim ensional case. \n DTSTART:20171103T173000Z DTEND:20171103T183000Z LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Niko Laaksonen (ɬÀï·¬) URL:/mathstat/channels/event/niko-laaksonen-mcgill-281 617 END:VEVENT END:VCALENDAR