Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a hyper-singular equation   The equation $v=v_0+\int_0^t(t-s)^{\lambda -1}v(s)ds$ is considered,
$\lambda\neq 0,-1,-2...$ and $v_0$ is a smooth function rapidly decaying with
all its derivatives. It is proved that the solution to this equation does
exist, is unique and is smoother than the singular function $t^{-\frac 5 4}$.

8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th