| Title: | Geometry of Linear Diophantine equations |
| Author: |
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| Advisor: | Amritanshu Prasad |
| Degree: | M.Sc |
| Main Subjects: |
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| Institution: | HBNI |
| Year: | 2012 |
| Pages: | 58p. |
| 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. |
| URI: | http://hdl.handle.net/123456789/324 |
| Files | Size | Format | View |
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| kamalakshya-HBNI MSc 8.pdf | 537.2Kb |
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