Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Sums of the $k-$powers of the Euler set and their connection with
  Artin's conjecture for primitive roots   We examine the sums $S(k,\,n)$ of the $k-$th powers of the $\phi(n)$ integers
$\alpha_1<\alpha_2<\cdots<\alpha_{\phi(n)}$ less than and prime to $n$ (Euler
set) and prove a formula (new) for $S(3,\,n)$. If $n$ equals a prime $p$, we
prove a theorem showing a connection of $S(3,\,p)$ with Artin's conjectural
constant for primitive roots and with other functions involving primes.

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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc