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►A plane partition, , of a positive integer , is a partition of in which the parts have been arranged in a 2-dimensional array that is weakly decreasing (nonincreasing) across rows and down columns.
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►A strict shifted plane partition is an arrangement of the parts in a partition so that each row is indented one space from the previous row and there is weak decrease across rows and strict decrease down columns.
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►►►Figure 22.19.1: Jacobi’s amplitude function for and .
…This corresponds to the pendulum being “upside down” at a point of unstable equilibrium.
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Magnify
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