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SUMMARY:Sharp bounds for moments of the Riemann zeta function - Adam Harpe
 r (Cambridge)
DTSTART:20131105T161500Z
DTEND:20131105T171500Z
UID:TALK47021@talks.cam.ac.uk
CONTACT:James Newton
DESCRIPTION:The Riemann zeta function \\zeta(s) has been studied for more 
 than 150 years\, but our knowledge about it remains very incomplete. On or
  near the critical line \\Re(s)=1/2\, our knowledge is lacking even if we 
 assume the truth of the Riemann Hypothesis. For example\, the behaviour of
  the power moments \\int_{0}{T} |\\zeta(1/2+it)|^2k^ dt \, which is subjec
 t to precise conjectures coming from random matrix theory\, has resisted m
 ost rigorous study until recently.\n\nIn this talk I will try to explain w
 ork of Soundararajan\, which gave nearly sharp upper bounds for the moment
 s of zeta (assuming the Riemann Hypothesis)\, and also my recent improveme
 nt giving sharp upper bounds (assuming the Riemann Hypothesis).
LOCATION:MR13
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