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Nov 12, 2012 at 22:37 comment added Patricia Hersh If you are interested in connections between combinatorics and harmonic analysis in general, whether or not they have to do with generating functions, you could try googling "Kakeya set" or "arithmetic combinatorics" as a couple of starting points.
Nov 12, 2012 at 17:06 history answered Patricia Hersh CC BY-SA 3.0