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Math Help - Proving on Perfect Square?

  1. #1
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    Proving on Perfect Square?

    Prove that an integer n is a perfect square if and only if Ƭ (n) is odd.
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  2. #2
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    Re: Proving on Perfect Square?

    You may want to explain what that T or \Gamma symbol is. If it refers to the number of positive integer divisors of n (usually denoted d(n)), the statement is true. I doubt it would be a \Gamma since it can easily get confused with the gamma function.
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  3. #3
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    Re: Proving on Perfect Square?

    Sorry about that. Ƭ (n) is supposed to be total number of positive divisors of n where n>0.
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  4. #4
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    Re: Proving on Perfect Square?

    The proof of this should be really simple if you recall what the formula for \tau(n) is.
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