91 citations · 520 across the 230 of their papers we have counts for
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A Eulogy for Jack Good
Doron Zeilberger
Irving John ("Jack") Good (9 December 1916 - 5 April 2009) was one of my greatest heroes and influencers. On Oct. 25, 2009, I gave a twenty-three minute talk with the present title…
A Multi-Set Identity for Partitions
Amitai Regev, Doron Zeilberger
We prove that the multiset {(RightArmLength,LeftArmLength)} ranging over all cells of all Ferrers diagrams with n cells equals the multiset {(RightArmLength,LegLength)} ranging ove…
In How Many Ways Can You Reassemble Several Russian Dolls?
Doron Zeilberger
When my brilliant student Thotsaporn "Aek" Thanatipanonda asked me about how many ways can one cover n identical twins, it rang a Bell back to 1981 (see the article). As usual, the…
The Mahonian probability distribution on words is asymptotically normal
E. Rodney Canfield, Svante Janson, Doron Zeilberger
The Mahonian statistic is the number of inversions in a permutation of a multiset with elements of type , . The counting function for this statistic is the $q…
Some Nice Sums are Almost as Nice if you turn them Upside Down
Moa Apagodu, Doron Zeilberger
We represent the sums , , $\sum_{k=0}^{n-1}\frac{q^{-k(k-1)}}{{\genfrac{[}{]}{0pt}{}{n}{k}}_q}…
Finite Analogs of Szemerédi's Theorem
Paul Raff, Doron Zeilberger
One of the "deepest" theorems in mathematics is Endre Szemerédi's theorem about the inevitability of arithmetical progressions. Here we try to nibble at it, by doing "finite" analo…