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(-1)-enumeration of self-complementary plane partitions
Theresia Eisenkölbl
We prove a product formula for the remaining cases of the weighted enumeration of self-complementary plane partitions contained in a given box where adding one half of an orbit of…
2-enumerations of halved alternating sign matrices
Theresia Eisenkölbl
We compute 2-enumerations of certain halved alternating sign matrices. In one case the enumeration equals the number of perfect matchings of a halved Aztec diamond. In the other ca…
(-1)-enumeration of plane partitions with complementation symmetry
Theresia Eisenkölbl
We compute the weighted enumeration of plane partitions contained in a given box with complementation symmetry where adding one half of an orbit of cubes and removing the other hal…
Proof of a partition identity conjectured by Lassalle
Theresia Eisenkölbl
We prove a partition identity conjectured by Lassalle (Adv. in Appl. Math. 21 (1998), 457-472).