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Two-terms Euler-Maclaurin formula for concave functions over polytopes

Let $P\subset\mathbb{R}^{n}$ be a lattice polytope (vertices are in $\mathbb{Z}^{n}$). Set $P_{k}=P\cap k^{-1}\mathbb{Z}^{n}$ for $k\geq1$. Given a concave function $\phi:P\rightarrow\mathbb{R}$ (cont …
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