The number of gridpoints on hyperplane sections of the 𝑑-dimensional cube

DOI10.1090/proc/14233zbMath1401.52022OpenAlexW2805240783MaRDI QIDQ4691356

Ulrich Abel

Publication date: 23 October 2018

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

Full work available at URL: https://doi.org/10.1090/proc/14233

zbMATH Keywords

hyperplane sections\(d\)-dimensional cubegridpoints

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Multi-variable sinc integrals and volumes of polyhedra
• Calculation of the integral \(\int_{- \infty}^{\infty} (\prod_{k = 1}^{n} \frac{\sin (a_{k}x)}{a_{k}x}) \cdot \cos (bx)dx\)
• Integration of sinc products via function-theoretic methods
• Euler–Frobenius numbers
• Cube Slicing in R n
• Slicing the Cube in R n and Probability (Bounds for the Measure of a Central Cube Slice in R n by Probability Methods)
• Hyperplane Sections of the <em>n</em>-Dimensional Cube
• Some remarkable properties of sinc and related integrals

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