Article ID Journal Published Year Pages File Type
4594726 Journal of Number Theory 2009 4 Pages PDF
Abstract

We study orbits of the natural action of SL(n,Z)+ (the semigroup of nonnegative integral n×n matrices with determinant 1) on Rn and apply the results to finding positive integral solutions to linear Diophantine inequalities. The proofs are based on elementary arguments.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory