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UID:20251008T170023EDT-41008IBLZi@132.216.98.100
DTSTAMP:20251008T210023Z
DESCRIPTION:Title:Upper and lower bounds for the large deviations of Selber
 g’s central limit theorem.\n\nAbstract: \n\nSuppose we form a complex rand
 om variable by taking a uniform random variable U on [T\, 2T] and evaluati
 ng the Riemann zeta function at that height on the critical line\, 1/2 + i
  U. Selberg’s central limit theorem informs us that the real (or indeed th
 e imaginary) part of the logarithm of this random variable behaves\, as T 
 grows\, like a centred Gaussian with a particular variance. It is of inter
 est to the number theoretic community\, in particular in relation to the m
 oments of the Riemann zeta function\, to understand the large deviations o
 f this random variable. In this talk I will discuss the case for the right
  tail\, presenting upper (2023) and lower (2024) bounds in work joint with
  L-P Arguin.\n\nThe talk will not require prior number theoretic knowledge
 .\n
DTSTART:20240223T193000Z
DTEND:20240223T203000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Emma Bailey (CUNY)
URL:/mathstat/channels/event/emma-bailey-cuny-355498
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