Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On mod $p^c$ transfer and applications   We study a mod $p^c$ analog of the notion of transfer for automorphic forms.
Instead of existence of eigenforms, such transfers yield congruences between
eigenforms but, like transfers, we show that they can be established by a
comparison of trace formulas. This rests on the properties of mod $p^c$ reduced
multiplicities which count congruences between eigenforms. As an application we
construct finite slope $p$-adic {\it continuous} families of Siegel eigenforms
using a comparison of trace formulas.

18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio