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Math Help - Number theory notation

  1. #1
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    ***Don't understand the NOTATION***

    I am tackling a number theory problem and there is the notation

    " a | ab "

    *** divided into ***... is my guess but I don't know clearly.

    If anybody knows, please tell me what the notation means.

    A simple example using this notation will help a lot!!!
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  2. #2
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    a or ab



    .
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  3. #3
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    This notation comes a number theory problem so the "or" meaning of the "|" does't quite make sense here.

    The whole problem goes
    - Show that if a and b are relatively prime, then (1+ab)|(a^2 + b^2)


    Its a problem from the American Monthly...
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  4. #4
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    Try "for". However, this still might not make sense. The then part of the statement needs to be a complete sentence, but it is not.
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  5. #5
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    In this context "x | y" means "x divides y". Thus it is true that 2 | 6, 3 | 6 and 6 | 6 but false that 5 | 6. (It is also used for the logical or operator).
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