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X-WR-CALNAME:Number Theory Seminar
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DTSTAMP:20260617T012425Z
UID:tag:localist.com\,2008:EventInstance_51931100339735
DTSTART:20260506T193000Z
DTEND:20260506T202000Z
DESCRIPTION:Speaker: Nathan Ng (University of Lethbridge)\n\nTitle: Prime n
 umber error terms\n\nAbstract: In 1980 Montgomery made a conjecture on the
  true order of the error term in\n\nthe prime number theorem. In the early
  1990’s Gonek made an analogous conjecture\n\nfor the sum of the Mobius 
 function. In 2012 I further revised Gonek’s conjecture by\n\nproviding a
  precise limiting constant. This was based on work on large deviations\n\n
 of sums of independent random variables. Similar ideas can be applied to a
 ny prime\n\nnumber error term. In this talk I will speculate about the tru
 e order of prime number\n\nerror terms. Recently\, Lamzouri showed that a 
 version of the Linear Independence\n\nConjecture implies part of Montgomer
 y’s conjecture. I will show how Lamzouri’s\n\nargument can be extended
  to any prime number error term. This talk is based on the\n\npreprint htt
 ps://arxiv.org/abs/2505.11295.
LOCATION:
SUMMARY:Number Theory Seminar
URL;VALUE=URI:https://events.k-state.edu/event/number-theory-seminar-5391
CATEGORIES:Lecture\, Colloquia\, Seminar
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