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SUMMARY:The size of the maximum of character sums
DTSTART:20150205T141500
DTEND:20150205T151500
DTSTAMP:20260916T044001Z
UID:ab285b3522b3fd8020dfe2968cd046a55961aeb9ffab1b5d0961c7b6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jonathan Bober\nI will talk about how often sums of Dirichlet 
 characters are large and say hopefully some things about the characters wh
 ich have large sums. In slightly more detail: For a Dirichlet character \\
 chi mod \\q\, let M(\\chi) denote the maximum (over x) of |\\sum_{n < x} \
 \chi(n)| and let N_\\chi be a value of x at which the maximum is attained.
  It turns out that M(\\chi)/\\sqrt{q} has a limiting distribution and N_\\
 chi has some interesting behavior. I'll say some things about this distrib
 ution and the characters which contribute to the tail.\nThis talk will be 
 mostly or entirely about joint work with Leo Goldmakher\, Andrew Granville
 \, and Dimitris Koukoulopoulos.
LOCATION:Room MA A3 30 http://plan.epfl.ch/?lang=fr&room=MA30
STATUS:CONFIRMED
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