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DTSTART:20220313T070000
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DTSTART;TZID=America/Toronto:20230207T113000
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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-92
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:MICHAEL RUBINSTEIN\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSIT
 Y OF\nWATERLOO\n\n\"DIFFERENTIAL EQUATIONS RELATED TO AVERAGES OF THE K-TH
  DIVISOR\nFUNCTION\"\n\nKeating\, Rodgers\, Roditty-Gershon\, and Rudnick 
 have given a conjecture\nfor the asymptotic behaviour of the mean square o
 f sums of the $k$-th\ndivisor numbers over short intervals\, and have prov
 en formulas for the\nanalogous problem over $\\mathbb{F}_q[t]$. I will dis
 cuss their work\nand describe determinantal and differential equations rel
 ated to their\nformulas.
DTSTAMP:20260503T165203Z
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