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math.CO2022
Generating functions for straight polyomino tilings of narrow rectangles
Mudit Aggarwal, Samrith Ram
Let be fixed positive integers. Determining the generating function for the number of tilings of an rectangle by rectangles is a long-standing open pr…
math.CO2022★ 4 cited
Splitting subspaces and a finite field interpretation of the Touchard-Riordan Formula
Amritanshu Prasad, Samrith Ram
We enumerate the number of -splitting subspaces of dimension for an arbitrary operator on a -dimensional vector space over a finite field. When is regular split…