Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit double shuffle relations and a generalization of Euler's
  decomposition formula   We give an explicit formula for the shuffle relation in a general double
shuffle framework that specializes to double shuffle relations of multiple zeta
values and multiple polylogarithms. As an application, we generalize the
well-known decomposition formula of Euler that expresses the product of two
Riemann zeta values as a sum of double zeta values to a formula that expresses
the product of two multiple polylogarithm values as a sum of other multiple
polylogarithm values.

29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph