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Math Help - Quadradtic Residues

  1. #1
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    Quadradtic Residues

    Show that if p is an odd prime not dividing a, then a complete solution to x^2 a (mod p^n) has the same number of elements for all positive integers n.

    Any helpful hints to get started? Thanks!
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  2. #2
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by mathmaniac234 View Post
    Show that if p is an odd prime not dividing a, then a complete solution to x^2 a (mod p^n) has the same number of elements for all positive integers n.

    Any helpful hints to get started? Thanks!
    Any progress?
    Follow Math Help Forum on Facebook and Google+

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