Abstract
In Ekhad and Zeilberger (Personal J Shalosh B Ekhad and Doron Zeilberger, 2020) an exciting case study has been initiated in which experimental mathematics and symbolic computation are utilized to discover new properties concerning the so-called Absent-Minded Passengers Problem. Based on these results, Doron Zeilberger raised some challenging tasks to gain further probabilistic insight. In this note we report on this enterprise. In particular, we demonstrate how the computer algebra packages of RISC can be used to carry out the underlying heavy calculations.
Highlights
A Challenging EmailOn January 22, 2020 I received the following email by Doron Zeilberger: Dear Carsten,
Can you extend theorem 5 of that paper to the general case with k absent-minded passengers?
Summarizing, the above email provoked various heavy calculations by means of computer algebra that will be described in the following
Summary
On January 22, 2020 I received the following email by Doron Zeilberger: Dear Carsten,. I (and Shalosh) just posted a paper https://arxiv.org/abs/2001.06839 with a challenge to you (see the middle of page 4). Can you (and Sigma) extend theorem 5 of that paper to the general case with k absent-minded passengers?. Supported by the Austrian Science Fund (FWF) grant SFB F50 (F5009-N15)
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