TY  - BOOK
AU  - Kamalakshya Mahatab
TI  - Geometry of Linear Diophantine equations
PY  - 2012///
KW  - Mathematics
KW  - Diophantine Equations
KW  - Geometry of Solutions
KW  - HBNI MSc 8
N1  - 2012
N2  - 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
UR  - http://www.imsc.res.in/xmlui/handle/123456789/324
ER  -