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Math Help - Pythagorean prime

  1. #1
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    Pythagorean prime

    Prove or tell the name of the book where this well known result has been proved.
    In the field Zp with p a Pythagorean prime, the polynomial x^2 = -1 has two solutions.
    please help me , I need reference or proof of this result in my Ph. D thesis.
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  2. #2
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    Quote Originally Posted by maken83 View Post
    Prove or tell the name of the book where this well known result has been proved.
    In the field Zp with p a Pythagorean prime, the polynomial x^2 = -1 has two solutions.
    please help me , I need reference or proof of this result in my Ph. D thesis.

    You need this...for a PhD thesis and you need to know where this is proven?!? Well, it is proven in pretty much EVERY single decent book in abstract algebra, algebraic number theory, or number theory...at least.
    Doing such a thesis it won't be a problem for you to search in a maths library for books of these kinds.

    Tonio

    Pd. By the way, the proof is quite standard and simple.
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