ELLIPTIC ROOK AND FILE NUMBERS

Elliptic rook and file numbers

In this work, we construct elliptic analogues of the rook numbers and file numbers by attaching elliptic weights to the cells in a board.We show that our elliptic rook and file numbers satisfy elliptic extensions of corre- sponding factorization Hats theorems which in the classical case were established by Goldman, Joichi and White and by Garsia an

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