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UID:20260513T153949EDT-15954ExFdu@132.216.98.100
DTSTAMP:20260513T193949Z
DESCRIPTION:Large Character Sums\n\nFor a non-principal Dirichlet character
   modulo \, the classical Polya-Vinogradov inequality asserts that . This 
 was improved to  by Montgomery and Vaughan\, assuming the Generalized Riem
 ann hypothesis GRH. For quadratic characters\, this is known to be optimal
 \, owing to an unconditional omega result due to Paley. In this talk\, we 
 shall present recent results on higher order characters sums. In the first
  part\, we discuss even order characters\, in which case we obtain optimal
  omega results for \, extending and refining Paley's construction. The sec
 ond part\, joint with Sasha Mangerel\, will be devoted to the more interes
 ting case of odd order characters\, where we build on previous works of Gr
 anville and Soundararajan and of Goldmakher to provide further improvement
 s of the Polya-Vinogradov and Montgomery-Vaughan bounds in this case. In p
 articular\, assuming GRH\, we are able to determine the order of magnitude
  of the maximum of \, when  has odd order  and conductor \, up to a power 
 of  (where  is the fourth iterated logarithm).\n
DTSTART:20170316T150000Z
DTEND:20170316T163000Z
LOCATION:Room 5448\, CA\, QC\, Montreal\, H3T 1J4\, Pavillon André-Aisensta
 dt\, 2920\, Chemin de la tour\, 5th floor
SUMMARY:Youness Lamzouri\, York University
URL:/mathstat/channels/event/youness-lamzouri-york-uni
 versity-267010
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