101 citations · 629 across the 59 of their papers we have counts for
17 papers · 1 filter
Yay for Determinants!
Tewodros Amdeberhan, Christoph Koutschan, Doron Zeilberger
In this {\it case study}, we hope to show why Sheldon Axler was not just wrong, but {\em wrong}, when he urged, in 1995: ``Down with Determinants!''. We first recall how determinan…
How does the Gerrymander Sequence Continue?
Manuel Kauers, Christoph Koutschan, George Spahn
We compute the next few terms of the OEIS sequence A348456 and provide guessed equations for the generating functions of some sequences in its context.
Legendre pairs of lengths (mod 5)
Ilias Kotsireas, Christoph Koutschan, Dursun Bulutoglu +3
By assuming a type of balance for length and non-trivial subgroups of multiplier groups of Legendre pairs (LPs) for length , we find LPs of these lengths. We the…
Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz
Hao Du, Christoph Koutschan, Thotsaporn Thanatipanonda +1
We present and prove closed form expressions for some families of binomial determinants with signed Kronecker deltas that are located along an arbitrary diagonal in the correspondi…
There are EXACTLY 1493804444499093354916284290188948031229880469556 Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts]
Shalosh B. Ekhad, Christoph Koutschan, Doron Zeilberger
In this memorial tribute to Joe Gillis, who taught us that Special Functions count, we show how the seminal Even-Gillis integral formula for the number of derangements of a multise…
Legendre pairs of lengths (mod )
Ilias Kotsireas, Christoph Koutschan
We prove a proposition that connects constant-PAF sequences and the corresponding Legendre pairs with integer PSD values. We show how to determine explicitly the complete spectrum…