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Math Help - pairwise disjoint sets of {n^2+an+b | n in Z} with a,b in Z

  1. #1
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    Question pairwise disjoint sets of {n^2+an+b | n in Z} with a,b in Z

    I am working on this problem:

    For a,b \in \mathbb{Z}, let S_{a,b}=\{n^2+an+b | n\in\mathbb{Z}\}.
    Suppose we have a collection of sets all of the form S_{a,b} for various a,b and these sets are pairwise disjoint. What is the maximum number of sets there can be?

    I see that sets S_{0,0} and S_{0,2} are disjoint but I am not sure the maximum number of pairwise disjoint sets.
    Last edited by mlef; April 18th 2012 at 10:21 AM.
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  2. #2
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    Re: pairwise disjoint sets of {n^2+an+b | n in Z} with a,b in Z

    bump
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