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SUMMARY:Anurag Sahay (University of Rochester)
DTSTART:20220527T180000Z
DTEND:20220527T182500Z
DTSTAMP:20260423T011340Z
UID:CANT2022/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2022/52/
 ">Moments of the Hurwitz zeta function with rational shifts</a>\nby Anurag
  Sahay (University of Rochester) as part of Combinatorial and additive num
 ber theory (CANT 2022)\n\n\nAbstract\nThe Hurwitz zeta function is a shift
 ed integer analogue of the Riemann zeta function\, for shift parameters $0
  < \\alpha \\leqslant 1$. We consider the moments of the Hurwitz zeta func
 tion on the critical line $\\Re{s} = 1/2$ for rational shifts $\\alpha = a
 /q$. In this case\, the Hurwitz zeta function decomposes as a linear combi
 nation of Dirichlet $L$-functions\, which leads us into investigating mome
 nts of products of $L$-functions.\n\nIf time permits\, we will briefly dis
 cuss these moments for irrational shift parameters $\\alpha$\, which shall
  dovetail into Trevor Wooley's talk on our joint work with Winston Heap.\n
LOCATION:https://researchseminars.org/talk/CANT2022/52/
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