Dani, S. G. ; Nogueira, Arnaldo (2009) On sl(n, z)+-orbits on rn and positive integral solutions of linear inequalities Journal of Number Theory, 129 (10). pp. 2526-2529. ISSN 0022-314X
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Official URL: http://dx.doi.org/10.1016/j.jnt.2008.12.010
Related URL: http://dx.doi.org/10.1016/j.jnt.2008.12.010
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 8265 |
| Deposited On: | 26 Oct 2010 11:56 |
| Last Modified: | 30 May 2011 05:24 |
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