A sharp upper estimate of the number of integral points in a 5-dimensional tetrahedra

DOI10.1006/jnth.2001.2720zbMath0992.11057OpenAlexW2032678319MaRDI QIDQ1604984

Ke-Pao Lin, Stephen Shing-Toung Yau

Publication date: 10 July 2002

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

Full work available at URL: https://semanticscholar.org/paper/330fc69b019f8ef1d8ff7bf0d489f3f40c237fdc

zbMATH Keywords

lattice points\(n\)-dimensional tetrahedra

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21)

Related Items (8)

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 ⋮ On the GLY conjecture of upper estimate of positive integral points in real right-angled simplices ⋮ Sharp polynomial estimate of integral points in right-angled simplices ⋮ On a number theoretic conjecture on positive integral points in a 5-dimensional tetrahedron and a sharp estimate of the Dickman-de Bruijn function ⋮ Analysis of sharp polynomial upper estimate of number of positive integral points in a five-dimensional tetrahedra ⋮ 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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