Abstract
For fixed integers α and β, planar arrays of integers of a given shape, in which the entries decrease at least by α along rows and at least by β along columns, are considered. The number of these (α,β)-plane partitions in which the first part and the last part in the i'th row are bounded by some integers a i and b i , respectively, can be given by a determinant. We give a new evaluation of this determinant for some special choices of the row bounds a i and b i .
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© 1990 Springer-Verlag
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Krattenthaler, C. (1990). A determinant evaluation and some enumeration results for plane partitions. In: Hlawka, E., Tichy, R.F. (eds) Number-Theoretic Analysis. Lecture Notes in Mathematics, vol 1452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096985
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DOI: https://doi.org/10.1007/BFb0096985
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