Additive Number Theory and Inequalities in Ehrhart Theory

DOI10.1093/imrn/rnv186zbMath1342.52017arXiv0904.3035OpenAlexW2963776316MaRDI QIDQ2800177

Alan Stapledon

Publication date: 15 April 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.3035

zbMATH Keywords

additive number theoryEhrhart polynomials

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Additive number theory; partitions (11P99)

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Universal inequalities in Ehrhart theory ⋮ Counting lattice points in free sums of polytopes ⋮ Ehrhart tensor polynomials ⋮ Level algebras and \(\boldsymbol{s}\)-lecture hall polytopes ⋮ Rational polytopes with Ehrhart coefficients of arbitrary period ⋮ Periods of Ehrhart coefficients of rational polytopes ⋮ Shifted symmetric \(\delta \)-vectors of convex polytopes ⋮ Enumeration of lattice polytopes by their volume ⋮ The characterisation problem of Ehrhart polynomials of lattice polytopes

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