What Does the Notation <k>^N Represent in Mathematical Contexts?

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The notation <k>^N in the given mathematical context likely represents a specific function or operation involving the vector k raised to the power N. The discussion centers around its application within a polynomial P(x) of order m on R^n, where it is used to establish bounds on the polynomial's values. Participants are exploring the possibility that <k>^N denotes the average of the components of k raised to the power N. Clarification on this notation is sought, along with references to its usage in mathematical literature. Understanding this notation is crucial for interpreting the bounds on polynomials in the specified context.
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Hello,

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 k \in \mathbb{Z}^n and N be a constant, what does &lt;k&gt;^N mean?

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

Can you help me?

Regards
 
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I think that maybe that &lt;k&gt;^{N} denotes the average of the elements of k raised to the power N.
 
Can you give a reference where this appears?
 

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