#### IMSc Webinar

#### Transcendence of values of the iterated exponential function at algebraic points

#### Wataru Takeda

##### Nagoya University, Japan

*We study the transcendence of the limit $h(A)$ of the sequence*

\[A, A^A, A^{A^A},\ldots.\]

In 2010, Sondow and Marques studied the case that $A$ is rational numbers or algebraic numbers satisfying some special conditions.

In this talk, we extend their results and give an asymptotic formula for the number of algebraic numbers $A$ such that $h(A)$ is algebraic.

This is the joint work with Hirotaka Kobayashi and Kota Saito.

Google meet link for this talk is

meet.google.com/yvz-yngc-nif

Done