Analysis of sharp polynomial upper estimate of number of positive integral points in a five-dimensional tetrahedra

DOI10.1016/j.disc.2007.09.018zbMath1217.11088OpenAlexW2078328952MaRDI QIDQ947818

Jianrong Zhao, Shao-Fang Hong

Publication date: 7 October 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.09.018

zbMATH Keywords

upper estimateDurfee conjecturefive-dimensional tetrahedraLin-Yau conjecture

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Lattice points in specified regions (11P21)

Cites Work

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• Durfee conjecture and coordinate free characterization of homogeneous singularities
• The signature of smoothings of complex surface singularities
• 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 sharp upper estimate of the number of integral points in a 5-dimensional tetrahedra
• Isolated singularities defined by weighted homogeneous polynomials
• Genera of algebraic varieties and counting of lattice points
• Counting the Number of Integral Points in General n-Dimensional Tetrahedra and Bernoulli Polynomials
• Analysis for a sharp polynomial upper estimate of the number of positive integral points in a 4-dimensional tetrahedron
• A sharp estimate of the number of integral points in a 4-dimensional tetrahedra.
• Sur un probl?me de g?om?trie diophantienne lin?aire. I. Poly?dres et r?seaux.
• The Lattice Points of Tetrahedra
• The lattice points of an \(n\)-dimensional tetrahedron