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SUMMARY:Winston Heap : Conditional mean values of long Dirichlet polynomia
 ls.
DTSTART;VALUE=DATE-TIME:20211202T140000Z
DTEND;VALUE=DATE-TIME:20211202T145500Z
DTSTAMP;VALUE=DATE-TIME:20260819T212406Z
UID:indico-contribution-331@indico.eimi.ru
DESCRIPTION:Speakers: Winston Heap ()\nMean values of Dirichlet polynomial
 s play an important role in analytic number theory. When the length of the
  sum exceeds the length of the integral they pose a significant challenge 
 requiring techniques from number theory and harmonic analysis. The mean va
 lues of these "long" Dirichlet polynomials appear in many important open p
 roblems in number theory. In this talk we survey some of these problems an
 d then describe how\, conditionally on the Riemann hypothesis\, one can co
 mpute asymptotics for the moments of long Dirichlet polynomials over prime
 s provided they are sufficiently weighted. We also give some applications 
 to large deviations.\n\nhttps://indico.eimi.ru/event/623/contributions/331
 /
LOCATION:Online
URL:https://indico.eimi.ru/event/623/contributions/331/
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