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Math Help - conjugate representation

  1. #1
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    conjugate representation

    For n\in\mathbb{Z} and a fixed t\in\mathbb{T}, the unit circle in the complex plane,

    How can I show that \overline{t}^n can be written as a linear combination of powers (in Z) of t?
    Last edited by Plato; June 6th 2010 at 12:19 PM. Reason: LaTex fix
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  2. #2
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    Quote Originally Posted by moesizlac View Post
    For n\in\mathbb{Z} and a fixed t\in\mathbb{T}, the unit circle in the complex plane,

    How can I show that \overline{t}^n can be written as a linear combination of powers (in Z) of t?
    .

    t\in T\Longrightarrow \overline{t}=t^{-1} , so...

    Tonio
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  3. #3
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    Oh of course! I feel silly for asking now :S

    Thank you!
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