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SUMMARY:Wataru Takeda (Nagoya University)
DTSTART:20201201T080000Z
DTEND:20201201T083000Z
DTSTAMP:20260423T010926Z
UID:JENTE/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/15/">T
 ranscendence of values of the iterated exponential function at algebraic p
 oints</a>\nby Wataru Takeda (Nagoya University) as part of Japan Europe Nu
 mber Theory Exchange Seminar\n\n\nAbstract\nWe study the transcendence of 
 the limit $h(A)$ of the sequence: $A\,  A^A\,  A^{A^A}\, \\dots $. In 2010
 \, Sondow and Marques studied the case that $A$ is rational numbers or alg
 ebraic numbers satisfying some special conditions. In this talk\, we exten
 d their results and give an asymptotic formula for the number of algebraic
  numbers $A$ such that $h(A)$ is algebraic.\nThis is a joint work with Hir
 otaka Kobayashi and Kota Saito.\n
LOCATION:https://researchseminars.org/talk/JENTE/15/
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