Counting the Number of Integral Points in General n-Dimensional Tetrahedra and Bernoulli Polynomials

DOI10.4153/CMB-2003-023-0zbMath1056.11054MaRDI QIDQ4431201

Ke-Pao Lin, Stephen Shing-Toung Yau

Publication date: 13 October 2003

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

lattice pointsconvex bodiestetrahedraBernoulli polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) 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 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 ⋮ 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

This page was built for publication: Counting the Number of Integral Points in General n-Dimensional Tetrahedra and Bernoulli Polynomials