Geometry of Linear Diophantine equations

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Geometry of Linear Diophantine equations

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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 http://hdl.handle.net/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

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