Generalized Ehrhart polynomials

DOI10.1090/S0002-9947-2011-05494-2zbMath1238.11045arXiv1002.3658MaRDI QIDQ5388833

Chen Sheng, Steven V. Sam, Nan Li

Publication date: 20 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3658

zbMATH Keywords

Ehrhart polynomialsinteger solutions of Diophantine equations

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Counting solutions of Diophantine equations (11D45) Lattices and convex bodies (number-theoretic aspects) (11H06) Asymptotic enumeration (05A16) Linear Diophantine equations (11D04)

Related Items (11)

Numerical adjunction formulas for weighted projective planes and lattice point counting ⋮ A Plethora of Polynomials: A Toolbox for Counting Problems ⋮ The unreasonable ubiquitousness of quasi-polynomials ⋮ Counting numerical semigroups by genus and some cases of a question of Wilf. ⋮ A Parametric Version of LLL and Some Consequences: Parametric Shortest and Closest Vector Problems ⋮ Recurrent sequences of polynomials in three-dimensional topology ⋮ Parametric Presburger arithmetic: logic, combinatorics, and quasi-polynomial behavior ⋮ Numerical semigroups and Kunz polytopes ⋮ Integer hulls of linear polyhedra and scl in families ⋮ Parametrizing an Integer Linear Program by an Integer ⋮ The parametric Frobenius problem

Cites Work

• Integer points in polyhedra
• Polynômes arithmétiques et méthode des polyedres en combinatoire
• Computing the Continuous Discretely
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