The lattice points of an \(n\)-dimensional tetrahedron

DOI10.1215/S0012-7094-40-00719-0zbMath0024.14901OpenAlexW1990294370MaRDI QIDQ5925330

D. H. Lehmer

Publication date: 1940

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-40-00719-0

zbMATH Keywords

lattice pointsmultidimensional tetrahedron

Mathematics Subject Classification ID

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

Related Items (11)

On the GLY conjecture of upper estimate of positive integral points in real right-angled simplices ⋮ Weighted multi-connected loop networks ⋮ A sharp lower bound for the geometric genus and Zariski multiplicity question ⋮ Correction to the leading term of asymptotics in the problem of counting the number of points moving on a metric tree ⋮ The lattice points of an \(n\)-dimensional tetrahedron ⋮ Number crunching vs. number theory: computers and FLT, from Kummer to SWAC (1850--1960), and beyond ⋮ Analysis of sharp polynomial upper estimate of number of positive integral points in a five-dimensional tetrahedra ⋮ Quadratic Residue Covers for Certain Real Quadratic Fields ⋮ Lattice point theory in polyhedra ⋮ The second term in the asymptotics for the number of points moving along a metric graph ⋮ A sharp upper estimate of the number of integral points in a 5-dimensional tetrahedra

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