@Book{1687160082,
author="Ring, Maren Helene",
title="Local formulas for Ehrhart coefficients from lattice tiles",
year="2019",
address="Rostock",
abstract="The coefficients of the Ehrhart polynomial of a lattice polytope can be written as a weighted sum of facial volumes. The weights in such a 'local formula' depend only on the outer normal cones of faces, but are far from being unique. In this thesis, we present local formulas $\mu$ based on choices of fundamental domains that, which allows a geometric interpretation of the values. Additionally, we generalize the results to Ehrhart quasipolynomials, prove new results about the symmetric behavior and introduce a variation well-suited for implementations.<eng>",
school="Universit{\"a}t Rostock",
note="vorgelegt von Maren Helene Ring",
note="GutachterInnen: Achill Sch{\"u}rmann (Universit{\"a}t Rostock) ; Matthias Beck (San Francisco State University)",
note="Dissertation Universit{\"a}t Rostock 2019",
doi="10.18453/rosdok_id00002595",
url="http://purl.uni-rostock.de/rosdok/id00002595",
url="https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00002595-5",
url="https://d-nb.info/1293658626/34",
url="https://doi.org/10.18453/rosdok_id00002595",
language="English"
}