Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ehrhart's polynomial for equilateral triangles in $\mathbb Z^3$   In this paper we calculate the Ehrhart's polynomial associated with a
2-dimensional regular polytope (i.e. equilateral triangles) in $\mathbb Z^3$.
The polynomial takes a relatively simple form in terms of the coordinates of
the vertices of the polytope and it depends heavily on the value $d$ and its
divisors, where $d=\sqrt{\frac{a^2+b^2+c^2}{3}}$ and $(a,b,c)$
($\gcd(a,b,c)=1$) is a vector with integer coordinates normal to the plane
containing the triangle.

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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th