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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.

6 votes
3 answers
2k views

What is the relationship between modular forms and the Rogers-Ramanujan identities?

Let G(q) be the generating function for partitions such that if k is a part, then it occurs once and k+1 is not a part. Let H(q) be the generating function for partitions with the same condition plus …
Vladimir Sotirov's user avatar