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DTSTART:20190310T070000
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UID:6a23cd60462f5
DTSTART;TZID=America/Toronto:20191008T133000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20191008T133000
URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-75
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:ERTAN ELMA\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF WAT
 ERLOO\n\n\"Discrete Mean Values of Dirichlet _L_-functions\"\n\nLet χ be 
 a Dirichlet character modulo a prime number _p_ ⩾ 3 and\nlet \\mathfrak 
 _a__χ:=(1-χ(-1))/2. Define the mean value\n\\begin{align*}\n\\mathcal{M}
 _{p}(s\,\\chi):=\\frac{2}{p-1}\\sum_{\\substack{\\psi \\bmod\np\\\\\\psi(-
 1)=-1}}L(1\,\\psi)L(s\,\\chi\\overline{\\psi})\n\\end{align*}\nfor a compl
 ex number _s_ such that _s_≠ 1 if \\mathfrak a _χ=1.
DTSTAMP:20260606T073352Z
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