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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

4 votes

Comparing two power-series

Here is a proof of the formula $$\sum_{j>0} \frac{1}{j} w(q)^j P_qw(q)^{-j}=2\log \frac{w(q)}{q}-\log w'(q).$$ (The notation is the same as in the Timothy's answer except I prefer $P_qf(q)$ to $[q^{> …
Alex Gavrilov's user avatar