BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:On the Gauss sphere problem [MPIM]
DTSTART:20261029T130000Z
DTEND:20261029T140000Z
DTSTAMP:20261101T232300Z
UID:indico-event-1676@math-events.uni-bonn.de
DESCRIPTION:Speakers: Chiara Bellotti (MPIM)\n\nNumber theory lunch semina
 r\nThe Gauss sphere problem concerns counting integer lattice points insid
 e a three-dimensional ball of radius R. A classical result states that the
  number of such points is asymptotic to the volume of the ball. A central 
 question in analytic number theory is to determine how small the error ter
 m in this approximation can be.Over the years\, successive improvements ha
 ve been obtained by Chen\, Vinogradov\, Chamizo and Iwaniec\, and Heath-Br
 own\, with the latter establishing an error exponent of 21/16.In this talk
 \, I will discuss recent joint work with Bryce Kerr in which we improve He
 ath-Brown's exponent to 55/42. I will also explain how recent progress on 
 zero-free regions for Dirichlet L-functions leads to a further improvement
 .The corresponding preprint is expected to be available on arXiv in the ne
 xt few days.\n \n\nhttps://math-events.uni-bonn.de/event/1676/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1676/
END:VEVENT
END:VCALENDAR