Proof of Kyle Petersen's Amazing Conjecture Relating the q- and Fibonacci Analogs of n!
By Doron Zeilberger
Written: May 11, 2014
[Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger]
I just came back from the
Ira Gessel 2015
conference, where three of Ira's brilliant students gave great talks. The first talk was
by Kyle Petersen, and the same Kyle conjectured an amazing relation between the q- and Fibonacci analogs
of n!, that he told Richard Stanley, who told me, during the banquet honoring Ira.
The proof turned out to be not that hard, but nevertheless, almost as pretty as the statement.
Added May 13, 2015: Richard Stanley found an even nicer proof, see
his Email message.
Added June 1, 2015: Johann Cigler found a yet nicer proof, see
Personal Journal of Shalosh B. Ekhad and Doron Zeilberger
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