Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: When are two Dedekind sums equal?   A natural question about Dedekind sums is to find conditions on the integers
$a_1, a_2$, and $b$ such that $s(a_1,b) = s(a_2, b)$. We prove that if the
former equality holds then $ b \ | \ (a_1a_2-1)(a_1-a_2)$. Surprisingly, to the
best of our knowledge such statements have not appeared in the literature. A
similar theorem is proved for the more general Dedekind-Rademacher sums as
well, namely that for any fixed non-negative integer $n$, a positive integer
modulus $b$, and two integers $a_1$ and $a_2$ that are relatively prime to $b$,
the hypothesis $r_n (a_1,b)= r_n (a_2,b)$ implies that
  $b \ | \ (6n^2+1-a_1a_2)(a_2-a_1)$.

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The categories of this paper are: adap-org
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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: q-alg