Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wach modules and critical slope p-adic L-functions   We study Kato and Perrin-Riou's critical slope p-adic L-function attached to
an ordinary modular form, using the methods of our earlier work with Lei. We
show that it may be decomposed as a sum of two bounded measures multiplied by
explicit distributions depending only on the local properties of the modular
form at p. We use this decomposition to prove results on the zeros of the
p-adic L-function, and we show that our results match the behaviour observed in
examples calculated by Pollack and Stevens.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph