Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Identities on poly-Dedekind sums   Dedekind sums occur in the transformation behaviour of the logarithm of the
Dedekind eta-function under substitutions from the modular group. In 1892,
Dedekind showed a reciprocity relation for the Dedekind sums. Apostol
generalized Dedekind sums by replacing the first Bernoulli function appearing
in them by any Bernoulli functions and derived a reciprocity relation for the
generalized Dedekind sums. In this paper, we consider poly-Dedekind sums which
are obtained from the Dedekind sums by replacing the first Bernoulli function
by any type 2 poly-Bernoulli functions of arbitrary indices and prove a
reciprocity relation for the poly-Dedekind sums.

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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th