Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Truncated $t$-adic symmetric multiple zeta values and double shuffle
  relations   We study a refinement of the symmetric multiple zeta value, called the
$t$-adic symmetric multiple zeta value, by considering its finite truncation.
More precisely, two kinds of regularizations (harmonic and shuffle) give two
kinds of the $t$-adic symmetric multiple zeta values, thus we introduce two
kinds of truncations correspondingly. Then we show that our truncations tend to
the corresponding $t$-adic symmetric multiple zeta values, and satisfy the
harmonic and shuffle relations, respectively. This gives a new proof of the
double shuffle relations for $t$-adic symmetric multiple zeta values, first
proved by Jarossay. In order to prove the shuffle relation, we develop the
theory of truncated $t$-adic symmetric multiple zeta values associated with
$2$-colored rooted trees. Finally, we discuss a refinement of Kaneko-Zagier's
conjecture and the $t$-adic symmetric multiple zeta values of Mordell-Tornheim
type.

26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci