Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A study on multiple zeta values from the viewpoint of zeta-functions of
  root systems   We study multiple zeta values (MZVs) from the viewpoint of zeta-functions
associated with the root systems which we have studied in our previous papers.
In fact, the $r$-ple zeta-functions of Euler-Zagier type can be regarded as the
zeta-function associated with a certain sub-root system of type $C_r$. Hence,
by the action of the Weyl group, we can find new aspects of MZVs which imply
that the well-known formula for MZVs given by Hoffman and Zagier coincides with
Witten's volume formula associated with the above sub-root system of type
$C_r$. Also, from this observation, we can prove some new formulas which
especially include the parity results of double and triple zeta values. As
another important application, we give certain refinement of restricted sum
formulas, which gives restricted sum formulas among MZVs of an arbitrary depth
$r$ which were previously known only in the cases of depth $2,3,4$.
Furthermore, considering a sub-root system of type $B_r$ analogously, we can
give relevant analogues of the Hoffman-Zagier formula, parity results and
restricted sum formulas.

7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat