Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594726 | Journal of Number Theory | 2009 | 4 Pages |
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