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SUMMARY:Andrew Granville (University of Montreal)
DTSTART:20201119T183000Z
DTEND:20201119T193000Z
DTSTAMP:20260423T024542Z
UID:MAGIC/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAGIC/25/">T
 he distribution of primes in short intervals.</a>\nby Andrew Granville (Un
 iversity of Montreal) as part of MAGIC (Michigan - Arithmetic Geometry Ini
 tiative - Columbia)\n\n\nAbstract\nWhat is the maximum number of primes in
  an interval of length $y$?\nHere  $y$ is no bigger than a small multiple 
 of $(\\log x)^2$\, that is\, $y$ is tiny compared to $x$. We will present 
 several conjectures (for different ranges of $y$) based on (a couple of) h
 euristic ideas\, and investigate these conjectures with data from calculat
 ions of primes. There are one or two surprising issues that arise.  This i
 s joint work with Allysa Lumley.\n
LOCATION:https://researchseminars.org/talk/MAGIC/25/
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