Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New functional equations of finite multiple polylogarithms   We give a finite analogue of the well-known formula
$\mathrm{Li}_{\underbrace{1, \ldots, 1}_n}(t) = \frac{1}{n!}\mathrm{Li}_1(t)^n$
of multiple polylogarithms for any positive integer n by using the shuffle
relation of finite multiple polylogarithms of Ono-Yamamoto type. Unlike the
usual case, the terms regarded as error terms appear in this formula. As a
corollary, we obtain $"t \leftrightarrow 1 - t"$ type new functional equations
of finite multiple polylogarithms of Ono-Yamamoto type and Sakugawa-Seki type.

23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org