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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20230308T155401Z
DTSTART:20230314T150000Z
DTEND:20230314T160000Z
SUMMARY:Manchester Number Theory Seminar - Winston Heap
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}xub-ld8nzv2
 3-mbksy0
DESCRIPTION:Speaker: Winston Heap\n\nTitle: Mean values of the Hurwitz ze
 ta function on the critical line and its value distribution for irration
 al parameters. \n\nAbstract: It is known that for typical L-functions co
 ming from arithmetic the distribution on the critical line is log-normal
  and as such the moments are expected to have a certain size. For ration
 al parameters\, the Hurwitz zeta function is given by a linear combinati
 on of Dirichlet L-functions and thus falls in this category. In this tal
 k\, I will discuss a joint work in progress with Anurag Sahay where we s
 how that for irrational parameters of irrationality exponent <3\, the Hu
 rwitz zeta function cannot satisfy this distribution. Precisely\, we sho
 w that the fourth moment is asymptotically 2 times the second moment squ
 ared which suggests a Gaussian distribution. \n\nRoom: Frank Adams 1
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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