Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Selberg class of Dirichlet series: small weights   In the study of Dirichlet series with arithmetic significance there has
appeared (through the study of known examples) certain expectations, namely (i)
if a functional equation and Euler product exists, then it is likely that a
type of Riemann hypothesis will hold, (ii) that if in addition the function has
a simple pole at the point s=1, then it must be a product of the Riemann
zeta-function and another Dirichlet series with similar properties, and (iii)
that a type of converse theorem holds, namely that all such Dirichlet series
can be obtained by considering Mellin transforms of automorphic forms
associated with arithmetic groups.

5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph