On formulas for Dedekind sums and the number of lattice points in tetrahedra

DOI10.1016/j.jnt.2009.04.001zbMath1246.11165OpenAlexW1978370454MaRDI QIDQ1025899

Letian Zhang, Stephen Shing-Toung Yau

Publication date: 23 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.04.001

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Lattice points in specified regions (11P21)

Related Items (1)

Multidimensional continued fractions for cyclic quotient singularities and Dedekind sums

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the GLY conjecture of upper estimate of positive integral points in real right-angled simplices
• Hecke operators and an identity for the Dedekind sums
• 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
• Classification of affine varieties being cones over nonsingular projective varieties: hypersurface case
• Some theorems on generalized Dedekind sums
• The Reciprocity Law for Dedekind Sums via the Constant Ehrhart Coefficient
• Dedekind and Hardy sums
• Genera of algebraic varieties and counting of lattice points
• Lattice points in simple polytopes
• 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

This page was built for publication: On formulas for Dedekind sums and the number of lattice points in tetrahedra