Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the rationality and continuity of logarithmic growth filtration of
  solutions of $p$-adic differential equations   We study the asymptotic behavior of solutions of Frobenius equations defined
over the ring of overconvergent series. As an application, we prove
Chiarellotto-Tsuzuki's conjecture on the rationality and right continuity of
Dwork's logarithmic growth filtrations associated to ordinary linear $p$-adic
differential equations with Frobenius structures.

20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess