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SUMMARY:Tanja Isabelle Schindler (Centro di Ricerca Matematica Ennio De Gi
 orgi)
DTSTART:20210615T083500Z
DTEND:20210615T090500Z
DTSTAMP:20260423T010809Z
UID:JENTE/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/36/">A
  central limit theorem for the Birkhoff sum of the Riemann zeta-function o
 ver a Boolean type transformation</a>\nby Tanja Isabelle Schindler (Centro
  di Ricerca Matematica Ennio De Giorgi) as part of Japan Europe Number The
 ory Exchange Seminar\n\n\nAbstract\nWe prove a central limit theorem for t
 he real and imaginary part and the absolute value of the Riemann zeta-func
 tion ξ sampled along a vertical line in the critical strip with respect t
 o an ergodic transformation similar to the Boolean transformation\, i.e. w
 e have an ergodic transformation T: R->R and consider ξ(c+i T^n(x)) for d
 ifferent n and fixed c and x. Our results complement results by Steuding w
 ho has first studied this system and has proven a strong law of large numb
 ers. As a side result we state a general central limit theorem for a class
  of unbounded observables on the real line over the same ergodic transform
 ation. With that it is possible that the results can be generalized to oth
 er L-function.\n
LOCATION:https://researchseminars.org/talk/JENTE/36/
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