@incollection {Barvinok1999, AUTHOR = {Barvinok, A. and Pommersheim, J.E.}, TITLE = {An algorithmic theory of lattice points in polyhedra}, BOOKTITLE = {New perspectives in algebraic combinatorics ({B}erkeley, {CA}, 1996--97)}, SERIES = {Math. Sci. Res. Inst. Publ.}, VOLUME = {38}, PAGES = {91--147}, PUBLISHER = {Cambridge Univ. Press, Cambridge}, YEAR = {1999}, MRCLASS = {52C07 (05A15)}, MRNUMBER = {1731815}, } @article {Beck2012, AUTHOR = {Beck, M.}, TITLE = {Combinatorial reciprocity theorems}, JOURNAL = {Jahresber. Dtsch. Math.-Ver.}, FJOURNAL = {Jahresbericht der Deutschen Mathematiker-Vereinigung}, VOLUME = {114}, YEAR = {2012}, NUMBER = {1}, PAGES = {3--22}, MRCLASS = {05A15 (05C15 05C31 11H06 52C07 52C35)}, MRNUMBER = {2911976}, MRREVIEWER = {David G. Wagner}, DOI = {10.1365/s13291-011-0035-6}, } @book {Beck2007, AUTHOR = {Beck, M. and Robins, S.}, TITLE = {Computing the continuous discretely}, SERIES = {Undergraduate Texts in Mathematics}, NOTE = {Integer-point enumeration in polyhedra}, PUBLISHER = {Springer, New York}, YEAR = {2007}, PAGES = {xviii+226}, MRCLASS = {11P21 (05-02 05A15 11-02 11H06 52B05 52B20)}, MRNUMBER = {2271992}, MRREVIEWER = {Jes\'us A. De Loera}, } @article {Chapoton2016, AUTHOR = {Chapoton, F.}, TITLE = {{$q$}-analogues of {E}hrhart polynomials}, JOURNAL = {Proc. Edinb. Math. Soc. (2)}, FJOURNAL = {Proceedings of the Edinburgh Mathematical Society. Series II}, VOLUME = {59}, YEAR = {2016}, NUMBER = {2}, PAGES = {339--358}, MRCLASS = {52B20 (06A07)}, MRNUMBER = {3509233}, MRREVIEWER = {Du\v sko Joji\'c}, DOI = {10.1017/S0013091515000243}} @article {Ehrhart, AUTHOR = {Ehrhart, E.}, TITLE = {Sur les poly\`edres rationnels homoth\'etiques \`a {$n$}\ dimensions}, JOURNAL = {C. R. Acad. Sci. Paris}, VOLUME = {254}, YEAR = {1962}, PAGES = {616--618}, MRCLASS = {10.25 (52.10)}, MRNUMBER = {0130860}, } @article {Kimsong, AUTHOR = {Kim, J.S. and Song, U.}, TITLE = {Proof of Chapoton's conjecture on Newton polygons of {$q$}-Ehrhart polynomials}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {25}, YEAR = {2018}, NUMBER = {2}, PAGES = {Paper 2.51, 14 pp.}, URL = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i3p51} } @article {KimStanton17, AUTHOR = {Kim, J.S. and Stanton, D.}, TITLE = {On {$q$}-integrals over order polytopes}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {308}, YEAR = {2017}, PAGES = {1269--1317}, MRCLASS = {05A30 (05A15 06A07 52B20)}, MRNUMBER = {3600087}, MRREVIEWER = {Thomas Britz}, DOI = {10.1016/j.aim.2017.01.001}} @article {Stanley_two_poset, AUTHOR = {Stanley, R.P.}, TITLE = {Two poset polytopes}, JOURNAL = {Discrete Comput. Geom.}, FJOURNAL = {Discrete \& Computational Geometry. An International Journal of Mathematics and Computer Science}, VOLUME = {1}, YEAR = {1986}, NUMBER = {1}, PAGES = {9--23}, MRCLASS = {52A25 (52A40)}, MRNUMBER = {824105}, MRREVIEWER = {P. McMullen}, URL = {https://doi.org/10.1007/BF02187680}} @Book{EC1, title = {Enumerative {C}ombinatorics, Vol. 1}, publisher = {Cambridge University Press}, year = {2012}, author = {Stanley, R.P.}, edition = {2nd Edition}, SERIES = {Cambridge Studies in Advanced Mathematics}, PAGES = {xiv+626} }