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SUMMARY:Emma Bailey (CUNY Graduate Center)
DTSTART:20220524T130000Z
DTEND:20220524T132500Z
DTSTAMP:20260423T011341Z
UID:CANT2022/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2022/1/"
 >Large deviations of Selberg's central limit theorem</a>\nby Emma Bailey (
 CUNY Graduate Center) as part of Combinatorial and additive number theory 
 (CANT 2022)\n\n\nAbstract\nSelberg's celebrated central limit theorem show
 s that $\\log\\zeta(1/2+\\rm{i} t)$ at a typical point $t$ at height $T$ b
 ehaves like a complex\, centered Gaussian random variable with variance $\
 \log\\log T$. This talk will present recent results showing that the Gauss
 ian decay persists in the large deviation regime\, at a level on the order
  of the variance\, improving on the best known bounds in that range. Time 
 permitting\, we will also present various applications\, including on the 
 maximum of the zeta function in short intervals. \n\nThis work is joint wi
 th Louis-Pierre Arguin.\n
LOCATION:https://researchseminars.org/talk/CANT2022/1/
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