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M3//EN
VERSION:2.0
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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20191106T140536Z
DTSTART:20191112T150000Z
DTEND:20191112T160000Z
SUMMARY:Ian Petrow (UCL) - The Weyl subconvex exponent for Dirichlet L-f
unctions.
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}mii-k0gm21w
8-s9flvr
DESCRIPTION:Join us for this research seminar\, part of the Number Theory
Seminar Series. \n\nAbstract: In the 1920s Weyl proved the first non-tr
ivial estimate for the Riemann zeta function on the critical line: \\zet
a(1/2+it) << (1+|t|)^{1/6+\\epsilon}. The analogous bound for a Dirichle
t L-function L(1/2\,\\chi) of conductor q as q tends to infinity is stil
l unknown in full generality. In a breakthrough around 2000\, Conrey and
Iwaniec proved the analogue of the Weyl bound for L(1/2\,\\chi) when \\
chi is assumed to be quadratic of conductor q. Building on the work of
Conrey and Iwaniec\, we show (joint work with Matt Young) that the Weyl
bound for L(1/2\,\\chi) holds for all primitive Dirichlet characters \\c
hi.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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