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math.CO2021
Two formulas for plane paritions
Peter Lindqvist
We give a direct deduction and proof of two identities in the theory of plane partitions. The first one is known to enumerate the traces of plane partitions. The second one comes w…
math.AP2021
On -Ground States in the Plane
Erik Lindgren, Peter Lindqvist
We study -Ground states in convex domains in the plane. In a polygon, the points where an -Ground state does not satisfy the -Laplace Equation are character…