Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Super-positivity of a family of L-functions in the level aspect   An automorphic self dual L-function has the super-positivity property if all
derivatives of the completed L-function at the central point $s=1/2$ are
non-negative and all derivatives at a real point $s > 1/2$ are positive. In
this paper we prove that at least 12% of L-functions associated to Hecke basis
cusp forms of weight $2$ and large prime level $q$ have the super-positivity
property. It is also shown that at least 49% of such L-functions have no real
zeros on $ \Re(s) > 0$ except possibly at $s = 1/2.$

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci