Bajo, Esme; Beck, Matthias Boundary \(H^\ast\)-polynomials of rational polytopes. (English) Zbl 1521.52005 SIAM J. Discrete Math. 37, No. 3, 1952-1969 (2023). MSC: 52B20 52C07 05A15 PDFBibTeX XMLCite \textit{E. Bajo} and \textit{M. Beck}, SIAM J. Discrete Math. 37, No. 3, 1952--1969 (2023; Zbl 1521.52005) Full Text: DOI arXiv
Beck, Matthias; Elia, Sophia; Rehberg, Sophie Rational Ehrhart theory. (English) Zbl 1515.52009 Sémin. Lothar. Comb. 86B, Article 44, 12 p. (2022). MSC: 52B20 PDFBibTeX XMLCite \textit{M. Beck} et al., Sémin. Lothar. Comb. 86B, Article 44, 12 p. (2022; Zbl 1515.52009) Full Text: arXiv Link
Beck, Matthias; Braun, Benjamin; Vindas-Meléndez, Andrés R. Decompositions of Ehrhart \(h^*\)-polynomials for rational polytopes. (English) Zbl 1494.52013 Discrete Comput. Geom. 68, No. 1, 50-71 (2022). Reviewer: Peter McMullen (London) MSC: 52B20 PDFBibTeX XMLCite \textit{M. Beck} et al., Discrete Comput. Geom. 68, No. 1, 50--71 (2022; Zbl 1494.52013) Full Text: DOI arXiv
Ardila, Federico; Supina, Mariel; Vindas-Meléndez, Andrés R. The equivariant Ehrhart theory of the permutahedron. (English) Zbl 1472.52016 Sémin. Lothar. Comb. 84B, Article 83, 12 p. (2020). Reviewer: Max Kölbl (Leipzig) MSC: 52B20 05E10 05E14 20C30 51M20 52B05 PDFBibTeX XMLCite \textit{F. Ardila} et al., Sémin. Lothar. Comb. 84B, Article 83, 12 p. (2020; Zbl 1472.52016) Full Text: arXiv Link
Breuer, Felix An invitation to Ehrhart theory: polyhedral geometry and its applications in enumerative combinatorics. (English) Zbl 1437.52010 Gutierrez, Jaime (ed.) et al., Computer algebra and polynomials. Applications of algebra and number theory. Berlin: Springer. Lect. Notes Comput. Sci. 8942, 1-29 (2015). MSC: 52B20 13M10 11C08 05A17 90C05 90C10 PDFBibTeX XMLCite \textit{F. Breuer}, Lect. Notes Comput. Sci. 8942, 1--29 (2015; Zbl 1437.52010) Full Text: DOI arXiv
Beck, Matthias; Bogart, Tristram; Pham, Tu Enumeration of Golomb rulers and acyclic orientations of mixed graphs. (English) Zbl 1253.05014 Electron. J. Comb. 19, No. 3, Research Paper P42, 13 p. (2012). MSC: 05A15 05C15 11P21 52C35 PDFBibTeX XMLCite \textit{M. Beck} et al., Electron. J. Comb. 19, No. 3, Research Paper P42, 13 p. (2012; Zbl 1253.05014) Full Text: arXiv Link
Sam, Steven V.; Woods, Kevin M. A finite calculus approach to Ehrhart polynomials. (English) Zbl 1197.52004 Electron. J. Comb. 17, No. 1, Research Paper R68, 13 p. (2010). Reviewer: Matthias Beck (San Francisco) MSC: 52C07 PDFBibTeX XMLCite \textit{S. V. Sam} and \textit{K. M. Woods}, Electron. J. Comb. 17, No. 1, Research Paper R68, 13 p. (2010; Zbl 1197.52004) Full Text: arXiv EuDML EMIS
Baldoni, Velleda; Berline, Nicole; Vergne, Michèle Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope. (English) Zbl 1162.52008 Beck, Matthias (ed.) et al., Integer points in polyhedra—geometry, number theory, algebra, optimization, statistics. Proceedings of the AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 11–15, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4173-0/pbk). Contemporary Mathematics 452, 15-33 (2008). Reviewer: Oleg Karpenkov (Graz) MSC: 52B45 52B20 PDFBibTeX XMLCite \textit{V. Baldoni} et al., Contemp. Math. 452, 15--33 (2008; Zbl 1162.52008) Full Text: arXiv
Wilson, Mark C.; Pritchard, Geoffrey Probability calculations under the IAC hypothesis. (English) Zbl 1141.91379 Math. Soc. Sci. 54, No. 3, 244-256 (2007). MSC: 91B14 52A38 52B55 52C07 60C05 60D05 91B12 PDFBibTeX XMLCite \textit{M. C. Wilson} and \textit{G. Pritchard}, Math. Soc. Sci. 54, No. 3, 244--256 (2007; Zbl 1141.91379) Full Text: DOI arXiv
Barvinok, Alexander Computing the Ehrhart quasi-polynomial of a rational simplex. (English) Zbl 1093.52009 Math. Comput. 75, No. 255, 1449-1466 (2006). Reviewer: Matthias Beck (San Francisco) MSC: 52C07 05A15 68R05 PDFBibTeX XMLCite \textit{A. Barvinok}, Math. Comput. 75, No. 255, 1449--1466 (2006; Zbl 1093.52009) Full Text: DOI arXiv
De Loera, Jesús A. The many aspects of counting lattice points in polytopes. (English) Zbl 1093.52006 Math. Semesterber. 52, No. 2, 175-195 (2005). Reviewer: Matthias Beck (San Francisco) MSC: 52B20 11P21 11H06 05A15 PDFBibTeX XMLCite \textit{J. A. De Loera}, Math. Semesterber. 52, No. 2, 175--195 (2005; Zbl 1093.52006) Full Text: DOI
Pukhlikov, A. V.; Khovanskii, A. G. A Riemann-Roch theorem for integrals and sums of quasipolynomials over virtual polytopes. (English. Russian original) Zbl 0798.52010 St. Petersbg. Math. J. 4, No. 4, 789-812 (1993); translation from Algebra Anal. 4, No. 4, 188-216 (1992). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 52B20 14M25 14C40 PDFBibTeX XMLCite \textit{A. V. Pukhlikov} and \textit{A. G. Khovanskii}, St. Petersbg. Math. J. 4, No. 4, 789--812 (1992; Zbl 0798.52010); translation from Algebra Anal. 4, No. 4, 188--216 (1992)