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SUMMARY:Alexandra Florea (University of California - Irvine)
DTSTART:20221205T190000Z
DTEND:20221205T200000Z
DTSTAMP:20260423T035413Z
UID:NTC/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTC/5/">Nega
 tive moments of the Riemann zeta-function</a>\nby Alexandra Florea (Univer
 sity of California - Irvine) as part of Lethbridge number theory and combi
 natorics seminar\n\n\nAbstract\nI will talk about recent work towards a co
 njecture of Gonek regarding negative shifted moments of the Riemann zeta-f
 unction. I will explain how to obtain asymptotic formulas when the shift i
 n the Riemann zeta function is big enough\, and how we can obtain non-triv
 ial upper bounds for smaller shifts. I will also discuss some applications
  to the question of obtaining cancellation of averages of the Mobius funct
 ion. Joint work with H. Bui.\n
LOCATION:https://researchseminars.org/talk/NTC/5/
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