Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational polytopes with Ehrhart coefficients of arbitrary period   A seminal result of E. Ehrhart states that the number of integer lattice
points in the dilation of a rational polytope by a positive integer $k$ is a
quasi-polynomial function of $k$ --- that is, a "polynomial" in which the
coefficients are themselves periodic functions of $k$. Using a result of F. Liu
on the Ehrhart polynomials of cyclic polytopes, we construct
not-necessarily-convex rational polytopes of arbitrary dimension in which the
periods of the coefficient functions appearing in the Ehrhart quasi-polynomial
take on arbitrary values.

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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga