Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates for the concentration functions of weighted sums of
  independent random variables   Let $X,X_1,...,X_n$ be independent identically distributed random variables.
The paper deals with the question about the behavior of the concentration
function of the random variable $\sum_{k=1}^{n}a_k X_k$ according to the
arithmetic structure of coefficients $a_k$. Recently the interest to this
question has increased significantly due to the study of distributions of
eigenvalues of random matrices. In this paper we formulate and prove some
refinements of the results of Friedland and Sodin (2007) and Rudelson and
Vershynin (2009).

8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
3
The categories of this paper are: physics