Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Error Term of the Summatory Euler Phi Function   A sharper estimate for the summatory Euler phi function $\sum_{n \leq x}
\varphi(n)$ is presented in this work. It improves the established estimate in
the current mathematical literature. In addition, an estimate for its
reciprocal $\sum_{n \leq x} 1/\varphi(n)$ is also determined.

17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex