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SUMMARY:Ingrid Vukusic (University of York)
DTSTART:20260402T161500Z
DTEND:20260402T173000Z
DTSTAMP:20260423T022007Z
UID:NEDNT/106
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/106/">
 Some bounds related to the 2-adic Littlewood conjecture</a>\nby Ingrid Vuk
 usic (University of York) as part of New England Dynamics and Number Theor
 y Seminar\n\nLecture held in Online.\n\nAbstract\nConsider alpha = (sqrt(1
 7)-1)/8. One can check that all partial quotients in the continued fractio
 n expansion of alpha are bounded by 3. If we multiply alpha by 2\, we get 
 a number where again all partial quotients are bounded by 3. And the same 
 is true for 4*alpha. Might this go on forever as we keep multiplying by 2 
 (mod 1)? Of course\, the answer is “no”\, as the 2-adic Littlewood con
 jecture is known to be true for quadratic irrationals.\nIn this talk\, we 
 will use Hurwitz’s algorithm for multiplication by 2 to approach the 2-a
 dic Littlewood conjecture in a completely naive way\, and we will (im)prov
 e some bounds related to the 2-adic Littlewood conjecture and a variant of
  it.\nJoint work with Dinis Vitorino.\n
LOCATION:https://researchseminars.org/talk/NEDNT/106/
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