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Math Help - generating functions, integer partitions

  1. #1
    Senior Member I-Think's Avatar
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    generating functions, integer partitions

    Just want to make sure this is correct
    Supposed to construct the generating function for the set of all integer partitions such that each even part is divisible by 4 and each odd part occurs an even number of times.
    Came up with
    \prod_{m=1}^{\infty}\frac{1}{1-x^{4m}}\prod_{n=1}^{\infty}\frac{1}{1-x^{2(2n-1)}}
    Last edited by I-Think; November 14th 2012 at 12:37 PM.
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