Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization of multiple zeta values   Multiple zeta values (MZVs) in the usual sense are the special values of
multiple variable zeta functions at positive integers. Their extensive studies
are important in both mathematics and physics with broad connections and
applications. In contrast, very little is known about the special values of
multiple zeta functions at non-positive integers since the values are usually
singular. We define and study multiple zeta functions at any integer values by
adapting methods of renormalization from quantum field theory, and following
the Hopf algebra approach of Connes and Kreimer. This definition of
renormalized MZVs agrees with the convergent MZVs and extends the work of
Ihara-Kaneko-Zagier on renormalization of MZVs with positive arguments. We
further show that the important quasi-shuffle (stuffle) relation for usual MZVs
remains true for the renormalized MZVs.

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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ