This material has been published in J. Statist. Plann. Inference 34 (1993), 197-208, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Elsevier B.V. This material may not be copied or reposted without explicit permission.

Christian Krattenthaler

Generating functions for shifted plane partitions

Abstract. With the help of a tableaux method, determinant formulas for trace generating functions for various classes of shifted plane partitions are derived. Proceeding from these determinants, generalizations of Gansner's (J. Combin. Theory A 30 (1981), 71-89; Illinois J. Math. 25 (1985), 533-554) hook formulas for shifted plane partitions and alternative proofs of recent results of Proctor about alternating trace generating functions are given.

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