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The Reciprocity Law for Dedekind Sums via the Constant Ehrhart Coefficient

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Publication:2757378
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DOI10.2307/2589153zbMath0979.05004arXivmath/0305404OpenAlexW2949784519MaRDI QIDQ2757378

Matthias Beck

Publication date: 26 November 2001

Full work available at URL: https://arxiv.org/abs/math/0305404


zbMATH Keywords

reciprocity lawDedekind sumEhrhart polynomiallattice polytopePick's theorem


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)


Related Items

\(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series ⋮ Reciprocal relations for trigonometric sums ⋮ On formulas for Dedekind sums and the number of lattice points in tetrahedra ⋮ Explicit evaluations and reciprocity theorems for finite trigonometric sums



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