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Math Help - Theorem 1 - part 1

  1. #1
    Newbie DynV's Avatar
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    Theorem 1 - part 1


    I've seen pretty much the same description at the page A theorem of number theory.

    I'm having trouble understanding that theorem ; the first examples that comes to mind is a=12, b=3, b=4 so that none of the parts make sense to me.

    I also don't get the proof of the first part as to me a should be bigger than b or c so that s and t should be a fraction (ie: 2/3), not an integer.

    I'm really stuck there and in a rush preparing for an exam
    Thank you kindly for your help
    Last edited by DynV; October 20th 2009 at 11:02 AM.
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  2. #2
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    I think you may misunderstand the notation.

    a|b means that \frac{b}{a} is an integer. i.e there is an integer k such that a \cdot k =b
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  3. #3
    Newbie DynV's Avatar
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    Quote Originally Posted by TheEmptySet View Post
    I think you may misunderstand the notation.

    a|b means that \frac{b}{a} is an integer. i.e there is an integer k such that a \cdot k =b
    I now see that TheEmptySet was right.




    I was seeing it reversed and made no sense. I knew the chance of having such an important error in a book revised 3 times by numerous important people was quite unlikely but wasn't understanding why. I though I was going to have to learn that section by heart ...

    Thanks
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