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SUMMARY:Nathan Ng (University of Lethbridge)
DTSTART:20211007T223000Z
DTEND:20211007T233000Z
DTSTAMP:20260422T054740Z
UID:SFUQNTAG/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/51/
 ">Moments of the Riemann zeta function</a>\nby Nathan Ng (University of Le
 thbridge) as part of SFU NT-AG seminar\n\n\nAbstract\nFor over a 100 years
 \, $I_k(T)$\, the $2k$-th moments of the Riemann zeta function on the crit
 ical line have been extensively studied. In 1918 Hardy-Littlewood establis
 hed an asymptotic formula for the second moment ($k=1$) and in 1926 Ingham
  established an asymptotic formula for the fourth moment $(k=2)$. Since th
 en no other moments have been asymptotically evaluated.  In the late 1990'
 s Keating and Snaith gave a conjecture for the size of $I_k(T)$ based on a
  random matrix model. Recently I showed that an asymptotic formula for the
  sixth moment ($k=3$) follows from a conjectural formula for some ternary 
 additive divisor sums.  In this talk I will give an overview of these resu
 lts.\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/51/
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