Sharp polynomial estimate of integral points in right-angled simplices
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Publication:1930105
DOI10.1016/j.jnt.2012.07.012zbMath1284.11130OpenAlexW2008838685MaRDI QIDQ1930105
Linda Zhao, Stephen Shing-Toung Yau
Publication date: 10 January 2013
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2012.07.012
homogeneous polynomialsisolated critical pointGranville-Lin-Yau conjecturenumerical characterization conjecture
Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21)
Cites Work
- Durfee conjecture and coordinate free characterization of homogeneous singularities
- An upper estimate of integral points in real simplices with an application to singularity theory
- On the GLY conjecture of upper estimate of positive integral points in real right-angled simplices
- The signature of smoothings of complex surface singularities
- Toric varieties, lattice points and Dedekind sums
- Computing the Ehrhart polynomial of a convex lattice polytope
- 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
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- Lattice points in simple polytopes
- 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.
- The Lattice Points of Tetrahedra
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