Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a criterion for the equality of Dedekind Sums   In [3] it was shown that the Dedekond sums $s(m_1,n)$ and $s(m_2,n)$ are
equal only if $(m_1m_2-1)(m_1-m_2)\equiv 0$ mod $n$. Here we show that the
latter condition is equivalent to $12s(m_1,n)-12s(m_2,n)\in \Z$. In addition,
we determine, for a given number $m_1$, the number of integers $m_2$ in the
range $0\le m_2<n$, $(m_1,m_2)=1$, such that $12s(m_1,n)-12s(m_2,n)\in \Z$,
provided that $n$ is square-free.

35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph