The Euler–Maclaurin formula for simple integral polytopes

DOI10.1073/pnas.0237168100zbMath1064.11063OpenAlexW1999307238WikidataQ34469673 ScholiaQ34469673MaRDI QIDQ5460766

Jonathan Weitsman, Yael Karshon, Shlomo Sternberg

Publication date: 19 July 2005

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.0237168100

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21)

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Cites Work

• Pick's theorem and the Todd class of a toric variety
• Toric varieties, lattice points and Dedekind sums
• The Ehrhart polynomial of a lattice polytope
• A theory of polyhedra
• Genera of algebraic varieties and counting of lattice points
• Lattice points in simple polytopes