Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recent Symbolic Summation Methods to Solve Coupled Systems of
  Differential and Difference Equations   We outline a new algorithm to solve coupled systems of differential equations
in one continuous variable $x$ (resp. coupled difference equations in one
discrete variable $N$) depending on a small parameter $\epsilon$: given such a
system and given sufficiently many initial values, we can determine the first
coefficients of the Laurent-series solutions in $\epsilon$ if they are
expressible in terms of indefinite nested sums and products. This systematic
approach is based on symbolic summation algorithms in the context of difference
rings/fields and uncoupling algorithms. The proposed method gives rise to new
interesting applications in connection with integration by parts (IBP) methods.
As an illustrative example, we will demonstrate how one can calculate the
$\epsilon$-expansion of a ladder graph with 6 massive fermion lines.

8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org