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SUMMARY:Alex Kontorovich (Rutgers University)
DTSTART:20201210T220000Z
DTEND:20201210T230000Z
DTSTAMP:20260423T024019Z
UID:JNTS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JNTS/10/">To
 ric Orbits in the Affine Sieve</a>\nby Alex Kontorovich (Rutgers Universit
 y) as part of Columbia CUNY NYU number theory seminar\n\n\nAbstract\nWe gi
 ve a heuristic model for the failure of "saturation" in instances of the A
 ffine Sieve having toral Zariski closure. Based on this model\, we formula
 te precise conjectures on several classical problems of arithmetic interes
 t\, and test these against empirical data. As a special case\, we give new
  conjectures about prime factorizations of Fibonacci and Mersenne numbers.
  This is based on joint work with Jeff Lagarias.\n
LOCATION:https://researchseminars.org/talk/JNTS/10/
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