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math.CO2004★ 14 cited
Projective geometry over F_1 and the Gaussian binomial coefficients
Henry Cohn
There is no field with only one element, yet there is a well-defined notion of what projective geometry over such a field means. This notion is familiar to experts and plays an int…
math.CO2000
2-adic behavior of numbers of domino tilings
Henry Cohn
We study the 2-adic behavior of the number of domino tilings of a 2n-by-2n square as nvaries. It was previously known that this number was of the form 2^n f(n)^2, where f(n) is an…
math.CO1998
The shape of a typical boxed plane partition
Henry Cohn, Michael Larsen, James Propp
Using a calculus of variations approach, we determine the shape of a typical plane partition in a large box (i.e., a plane partition chosen at random according to the uniform distr…