Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mahler/Zeta Correspondence   The Mahler measure was introduced by Mahler in the study of number theory. It
is known that the Mahler measure appears in different areas of mathematics and
physics. On the other hand, we have been investigated a new class of zeta
functions for various kinds of walks including quantum walks by a series of our
previous work on "Zeta Correspondence". The quantum walk is a quantum
counterpart of the random walk. In this paper, we present a new relation
between the Mahler measure and our zeta function for quantum walks. Firstly we
consider this relation in the case of one-dimensional quantum walks. Afterwards
we deal with higher-dimensional quantum walks. For comparison with the case of
the quantum walk, we also treat the case of higher-dimensional random walks.
Our results bridge between the Mahler measure and the zeta function via quantum
walks for the first time.

15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg