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SUMMARY:Fatma Cicek (IIT\, Gandhinagar)
DTSTART:20200813T103000Z
DTEND:20200813T113000Z
DTSTAMP:20260423T022929Z
UID:SF-and-nt/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SF-and-nt/5/
 ">On the logarithm of the Riemann zeta-function near the nontrivial zeros<
 /a>\nby Fatma Cicek (IIT\, Gandhinagar) as part of Special Functions and N
 umber Theory seminar\n\n\nAbstract\nSelberg's central limit theorem is one
  of the most significant probabilistic results in analytic number theory. 
 Roughly\, it states that the logarithm of the Riemann zeta-function on and
  near the critical line has an approximate two-dimensional Gaussian distri
 bution.\n\nIn this talk\, we will talk about our recent result which state
 s that the distribution of the logarithm of the Riemann zeta-function near
  the sequence of the nontrivial zeros has a similar central limit theorem.
  Our results are conditional on the Riemann Hypothesis and/or suitable zer
 o-spacing hypotheses. They also have suitable generalizations to Dirichlet
  $L$-functions.\n
LOCATION:https://researchseminars.org/talk/SF-and-nt/5/
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