15 citations · 31 across the 7 of their papers we have counts for
7 papers
Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations
Christoph Koutschan, Christian Krattenthaler, Michael Schlosser
In his work on the twenty vertex model, Di Francesco [Electron. J. Combin. 28(4) (2021), Paper No. 4.38] found a determinant formula for the number of configurations in a specific…
Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik
Tewodros Amdeberhan, Victor Moll, John Lopez Santander +2
The long-time behavior of solutions to the initial value problem for the Korteweg-de Vries equation on the whole line, with general initial conditions has been described uniformly…
Diagonally symmetric alternating sign matrices
Roger E. Behrend, Ilse Fischer, Christoph Koutschan
The enumeration of diagonally symmetric alternating sign matrices (DSASMs) is studied, and a Pfaffian formula is obtained for the number of DSASMs of any fixed size, where the entr…
Diagonals of rational functions: from differential algebra to effective algebraic geometry (unabridged version)
Y. Abdelaziz, S. Boukraa, C. Koutschan +1
We show that the results we had obtained on diagonals of nine and ten parameters families of rational functions using creative telescoping, yielding modular forms expressed as pull…
On Christol's conjecture
Y. Abdelaziz, C. Koutschan, J-M. Maillard
We show that the unresolved examples of Christol's conjecture and , are indeed diagon…
Heun functions and diagonals of rational functions (unabridged version)
Y. Abdelaziz, S. Boukraa, C. Koutschan +1
We provide a set of diagonals of simple rational functions of three and four variables that are squares of Heun functions. These Heun functions obtained through creative telescopin…