Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probability density functions attached to random Euler products for
  automorphic $L$-functions   In this paper, we study the value-distributions of $L$-functions of
holomorphic primitive cusp forms in the level aspect. We associate such
automorphic $L$-functions with probabilistic models called the random Euler
products. First, we prove the existence of probability density functions
attached to the random Euler products. Then various mean values of automorphic
$L$-functions are expressed as integrals involving the density functions.
Moreover, we estimate the discrepancies between the distributions of values of
automorphic $L$-functions and those of the random Euler products.

26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom