Kadell's first constant-term conjecture for the Dyson product
Let I={i1,…,im}I=\{i_1,\ldots,i_m\}I={i1,…,im} be a proper subset of {0,1,…,n}\{0,1,\ldots,n\}{0,1,…,n} and let J={j1,…,jm}J=\{j_1,\ldots,j_m\}J={j1,…,jm} be a multi-subset of {0,1,…,n}∖I\{0,1,\ldots,n\}\setminus I{0,1,…,n}∖I, where…