Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A level raising result for modular Galois representations modulo prime
  powers   In this work we provide a level raising theorem for $\mod \lambda^n$ modular
Galois representations. It allows one to see such a Galois representation that
is modular of level $N$, weight 2 and trivial Nebentypus as one that is modular
of level $Np$, for a prime $p$ coprime to $N$, when a certain local condition
at $p$ is satisfied. It is a generalization of a result of Ribet concerning
$\mod \ell$ Galois representations.

36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex