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Problems wiith the notation

  1. Jul 22, 2011 #1

    i have found a notation, which i never saw before and i can't give some reasonable definition for it.
    Perhaps some of you guys have seen it before and can help me.

    let [tex]k \in \mathbb{Z}^n[/tex] and N be a constant, what does [tex]<k>^N[/tex] mean?

    I will put more of the context, where this appears:
    Let P(x) be a polynomial of order m on [tex]\mathbb{R}^n[/tex]. For almost every [tex]\alpha \in A[/tex], there are constants C,N s.t.[tex] \left| P(k+\alpha)\right| \leq C<k>^N \forall k \in \mathbb{Z}^n[/tex].

    Can you help me?

  2. jcsd
  3. Jul 25, 2011 #2


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    I think that maybe that [itex]<k>^{N}[/itex] denotes the average of the elements of k raised to the power N.
  4. Jul 25, 2011 #3
    Can you give a reference where this appears?
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