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UID:5378@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20241112T110000
DTEND;TZID=Europe/Paris:20241112T120000
DTSTAMP:20241107T165835Z
URL:https://www.i2m.univ-amu.fr/evenements/prime-number-error-terms/
SUMMARY:Nathan Ng (Université de Lethbridge\, Canada): Prime number error 
 terms
DESCRIPTION:Nathan Ng: In 1980 Montgomery made a conjecture about the true 
 order of the error term in the prime number theorem. In the early 1990's G
 onek made an analogous conjecture for the sum of the Mobius function. In 2
 012 I further revised Gonek’s conjecture by providing a precise limiting
  constant. This was based on work on large deviations of sums of independe
 nt random variables. Similar ideas can be applied to any prime number erro
 r term. In this talk I will speculate about the true order of prime number
  error terms. Recently\, Lamzouri showed that a version of the Linear Inde
 pendence Conjecture implies part of Montgomery's conjecture.  I will show
  how Lamzouri's argument can be extended to any prime number error term.
CATEGORIES:Séminaire,Ernest
LOCATION:I2M Luminy - TPR2\, Salle de Séminaire 304-306 (3ème étage)\, 1
 63 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
 eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - TPR2\, Sall
 e de Séminaire 304-306 (3ème étage):geo:0,0
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DTSTART:20241027T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
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