Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant (2009)
Dunkl, Charles, Zyczkowski, Karol
A bistochastic matrix B of size N is called unistochastic if there exists a unitary U such that B_ij=|U_{ij}|^{2} for i,j=1,...,N. The set U_3 of all unistochastic matrices of order N=3 forms a...
Linear combinations of orthogonal polynomials (2008)
Richard Askey, Erik Koelink, Jesus Morales, Tomas Sauer, Yuan Xu, Clemente Cesarano, ...
A one-parameter family of orthogonality relations for certain 2ϕ1-series
Doron Zeilberger, David Bressoud, Gaurav Bhatnagar, Anders Bjorner, Jonathan Borwein, Francesco Brenti, ...
Two stones build two houses. Three build six houses. Four build four and twenty houses. Five build hundred and twenty houses. Six build Seven hundreds and twenty houses. Seven build five thousands...
Proof Of The Alternating Sign Matrix Conjecture (1995)
Doron Zeilberger, Gert Almkvist, Noga Alon, George Andrews, Dror Bar-natan, Francois Bergeron, ...
: The number of n n matrices whose entries are either -1, 0, or 1, whose row- and column- sums are all 1, and such that in every row and every column the non-zero entries alternate in sign, is proved...