Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of counterexample to Robin hypothesis   Let $G(n)=\sigma (n)/(n \log \log n )$. Robin made hypothesis that
$G(n)<e^\gamma$ for all integer $n>5040$. If there exists counterexample to
Robin hypothesis, then there must exist finite number of counterexamples
$n>5040$ such that $G(n)$ attains largest value. This article studies various
properties of such number.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
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The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin