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On Ehrhart polynomials of lattice triangles | | Johannes Hofscheier
; Benjamin Nill
; Dennis Öberg
; | | Date: |
29 Sep 2016 | | Abstract: | The Ehrhart polynomial of a lattice polygon P is completely determined by the
pair (b(P),i(P)) where b(P) equals the number of lattice points on the boundary
and i(P) equals the number of interior lattice points. All possible pairs
(b(P),i(P)) are completely described by a theorem due to Scott. In this note,
we describe the shape of the set of pairs (b(T),i(T)) for lattice triangles T
by finding infinitely many new Scott-type inequalities. | | Source: | arXiv, 1609.9526 | | Services: | Forum | Review | PDF | Favorites | |
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