On the GLY conjecture of upper estimate of positive integral points in real right-angled simplices

DOI10.1016/j.jnt.2006.04.007zbMath1115.11062OpenAlexW2044132462WikidataQ123149062 ScholiaQ123149062MaRDI QIDQ863967

Xuejun Wang, Stephen Shing-Toung Yau

Publication date: 12 February 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.04.007

zbMATH Keywords

lattice pointsGLY conjectureright-angled simplex

Mathematics Subject Classification ID

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)

Related Items (7)

Integral points in rational polygons: a numerical semigroup approach ⋮ A sharp estimate of positive integral points in 6-dimensional polyhedra and a sharp estimate of smooth numbers ⋮ Sharp polynomial estimate of integral points in right-angled simplices ⋮ On the polynomial sharp upper estimate conjecture in 7-dimensional simplex ⋮ On a number theoretic conjecture on positive integral points in a 5-dimensional tetrahedron and a sharp estimate of the Dickman-de Bruijn function ⋮ A sharp polynomial estimate of positive integral points in a 4-dimensional tetrahedron and a sharp estimate of the Dickman-de Bruijn function ⋮ On formulas for Dedekind sums and the number of lattice points in tetrahedra

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