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SUMMARY:Wen Wu (South China University of Technology)
DTSTART:20221108T130000Z
DTEND:20221108T140000Z
DTSTAMP:20260423T021438Z
UID:OWNS/98
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/98/">Fr
 om the Thue-Morse sequence to the apwenian sequences</a>\nby Wen Wu (South
  China University of Technology) as part of One World Numeration seminar\n
 \n\nAbstract\nIn this talk\, we will introduce a class of $\\pm 1$ sequenc
 es\, called the apwenian sequences.  The Hankel determinants of these $\\p
 m1$ sequences share the same property as the Hankel determinants of the Th
 ue-Morse sequence found by Allouche\, Peyrière\, Wen and Wen in 1998.  In
  particular\, the Hankel determinants of apwenian sequences do not vanish.
  This allows us to discuss the Diophantine property of the values of their
  generating functions at $1/b$ where $b\\geq 2$ is an integer. Moreover\, 
 the number of $\\pm 1$ apwenian sequences is given explicitly.  Similar qu
 estions are also discussed for $0$-$1$ apwenian sequences.  This talk is b
 ased on joint work with Y.-J. Guo and G.-N. Han.\n
LOCATION:https://researchseminars.org/talk/OWNS/98/
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