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We continue our study of intermediate sums over polyhedra, interpolating between integrals and discrete sums, which were introduced by A.
M. Brion, Points entiers dans les polyèdres convexes , Ann. Sci. École Norm. Sup. 21
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1993
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M. Brion and M. Vergne, Residue formulae, vector partition functions and lattice points in rational polytopes , J. Amer. Math. Soc. 10
1997
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P. Clauss and V. Loechner, Parametric analysis of polyhedral iteration spaces , Journal of VLSI Signal Processing 19
1998
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M. Beck, Multidimensional Ehrhart reciprocity , Journal of Combinatorial Theory, Series A 97
2001
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S. Verdoolaege, Incremental loop transformations and enumeration of parametric sets , Ph.D. thesis, Department of Computer Science, K.U. Leuven, Leuven, Belgium, April 2005
2005
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by same author, Computing the Ehrhart quasi-polynomial of a rational simplex , Math. Comp. 75
2006
Cited alongside, same era.
2007
Cited alongside, same era.
V. Baldoni, N. Berline, and M. Vergne, Local Euler–Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of rational polytopes , Contemporary Mathematics 452
2008
Cited alongside, same era.
by same author, Integer points in polyhedra , Zürich Lectures in Advanced Mathematics, European Mathematical Society (EMS), Zürich, Switzerland, 2008
2008
Cited alongside, same era.
M. Köppe and S. Verdoolaege, Computing parametric rational generating functions with a primal Barvinok algorithm , The Electronic Journal of Combinatorics 15
E. Linke, Rational Ehrhart quasi-polynomials , Journal of Combinatorial Theory, Series A 118
2011
Later among the works it cites.
by same author, Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra , Foundations of Computational Mathematics 12
2012
Later among the works it cites.
2012
Later among the works it cites.
V. Baldoni, N. Berline, M. Köppe, and M. Vergne, Intermediate sums on polyhedra: Computation and real Ehrhart theory , Mathematika 59
2013
Later among the works it cites.
by same author, Three Ehrhart quasi-polynomials , eprint arXiv:1410.8632 [math.CO], 2014
2014
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2008
Cited alongside, same era.
V. Baldoni, N. Berline, J. A. De Loera, M. Köppe, and M. Vergne, How to integrate a polynomial over a simplex , Mathematics of Computation 80
2010
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