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M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20230202T211037Z
DTSTART:20230207T150000Z
SUMMARY:Manchester Number Theory Seminar - George Dickinson
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DESCRIPTION:Speaker: George Dickinson (University of Manchester)\n\nTitle
: Moments of L-functions and the Density Hypothesis\n\nAbstract: The Den
sity Hypothesis is a long-standing open problem concerning the density o
f zeros of L-functions in the critical strip\, and in some contexts it i
s as strong as the Riemann Hypothesis. One method for proving zero-densi
ty theorems involves finding asymptotic formulae for mollified moments a
nd optimising the mollifier. Increasing the length of the mollifier can
strengthen the result\, however there are some natural barriers to overc
ome. In this talk we break one of these barriers to find an asymptotic f
ormula for the twisted second moment of Dirichlet L-functions in two asp
ects\, and use it to prove a zero-density theorem.\n\nRoom: Frank Adams
1
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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