| 000 | 01185nam a2200253Ia 4500 | ||
|---|---|---|---|
| 008 | 160627s2012||||xx |||||||||||||| ||und|| | ||
| 080 | _aHBNI MSc8 | ||
| 100 |
_aKamalakshya Mahatab _eauthor |
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| 245 | _aGeometry of Linear Diophantine equations | ||
| 260 | _c2012 | ||
| 300 | _a58p. | ||
| 502 | _a2012 | ||
| 502 | _bM.Sc | ||
| 502 | _cHBNI | ||
| 520 | 3 | _aThe 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. | |
| 650 | 1 | 4 | _aMathematics |
| 653 | 1 | 0 | _aDiophantine Equations |
| 653 | 1 | 0 | _aGeometry of Solutions |
| 653 | 1 | 0 | _aHBNI MSc 8 |
| 720 | 1 |
_aAmritanshu Prasad _eThesis advisor [ths] |
|
| 856 | _uhttp://www.imsc.res.in/xmlui/handle/123456789/324 | ||
| 942 |
_2THESIS118 _cTHESIS _01 |
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| 999 |
_c48823 _d48823 |
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