dc.contributor.author | Kamalakshya Mahatab | |
dc.date.accessioned | 2012-07-17T05:53:37Z | |
dc.date.available | 2012-07-17T05:53:37Z | |
dc.date.issued | 2012-07-17T05:53:37Z | |
dc.date.submitted | 2012 | |
dc.identifier.uri | https://dspace.imsc.res.in/xmlui/handle/123456789/324 | |
dc.description.abstract | The non-negative solutions of linear homogeneous Diophantine equations are studied using the geometric theory of convex polytopes. After a brief introduction to the theory of convex polytopes and its relation to solutions of linear homogeneous Diophantine equations, a theorem of Stanley, Bruggesser and Mani on the decomposition of the monoid of solutions is discussed in detail. An application of this theorem, due to Stanley, to prove a conjecture of Anand, Dumir and Gupta is explained. | en_US |
dc.publisher.publisher | ||
dc.subject | Diophantine Equations | en_US |
dc.subject | Geometry of Solutions | en_US |
dc.subject | HBNI MSc 8 | en_US |
dc.title | Geometry of Linear Diophantine equations | en_US |
dc.type.degree | M.Sc | en_US |
dc.type.institution | HBNI | en_US |
dc.description.advisor | Amritanshu Prasad | |
dc.description.pages | 58p. | en_US |
dc.type.mainsub | Mathematics | en_US |