A. Conca et J. Herzog, ON THE HILBERT FUNCTION OF DETERMINANTAL, RINGS AND THEIR CANONICAL MODULE, Proceedings of the American Mathematical Society, 122(3), 1994, pp. 677-681
We determine the Hilbert function of a determinantal ring and of its c
anonical module using a combinatorial result of Krattenthaler. This gi
ves a new proof of Abhyankar's formula.