Geometry of Linear Diophantine equations

Kamalakshya Mahatab

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