Summary: A CONDENSED CONDENSATION PROOF OF A DETERMINANT EVALUATION
CONJECTURED BY Greg KUPERBERG AND Jim PROPP
Tewodros AMDEBERHAN 1 and Shalosh B. EKHAD 1
Greg Kuperberg and Jim Propp [P] have conjectured the following determinant identity:
det
'' `
i + j
i
'`
2n \Gamma i \Gamma j
n \Gamma i
'
0Ÿi;jŸn
#
= (2n + 1)! n+1
(2n + 1)!! ;
where a!! := 0! \Delta 1! \Delta 2! \Delta \Delta \Delta a!, and a! := 1 \Delta 2 \Delta \Delta \Delta a.
This is the special case (m = n; a = b = 0) of
det
'' `

Source: Amdeberhan, Tewodros - Department of Mathematics, Tulane University

Collections: Mathematics