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UID:20260910T135815EDT-2864NvSxOS@132.216.98.100
DTSTAMP:20260910T175815Z
DESCRIPTION:Title: Mean Values of Long Dirichlet Polynomials with Higher Di
 visor Coefficients.\n\nAbstract: The 2k-th moments and shifted moments of 
 the Riemann zeta function can be modelled by mean values of Dirichlet poly
 nomials with higher divisor coefficients. In this talk\, I discuss joint w
 ork with Nathan Ng where we establish an asymptotic formula for mean value
 s of long Dirichlet polynomials with higher order shifted divisor function
 s as coefficients\, assuming a conjectural formula for a certain family of
  additive divisor sums. This proves a conjecture of Coney-Keating (2015) u
 nder the assumption of an additive divisor conjecture. In an ongoing work\
 , we use this result to establish a special case of a conjecture of Conrey
 -Gonek (1998) when the additive divisor conjecture is known.\n
DTSTART:20221027T180000Z
DTEND:20221027T193000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Alia Hamieh\, UNBC
URL:https://www.mcgill.ca/mathstat/channels/event/alia-hamieh-unbc-342838
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