Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher-dimensional Dedekind sums and their bounds arising from the
  discrete diagonal of the n-cube   Higher-dimensional Dedekind sums are defined as a generalization of a recent
1-dimensional probability model of Dilcher and Girstmair to a d-dimensional
cube. The analysis of the frequency distribution of marked lattice points leads
to new formulae in certain special cases, and to new bounds for the classical
Dedekind sums. Upper bounds for the generalized Dedekind sums are defined in
terms of 1-dimensional moments. In the classical two-dimensional case, the
ratio of these sums to their upper bounds are cosines of angles between certain
vectors of n-dimensional cones, conjectured to have a largest spacial angle of
pi/6.

20
The categories of this paper are: acc-phys
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The categories of this paper are: eess
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph