Showing the non-existence of solutions in systems of linear Diophantine equations

The present paper is concerned with expounding an altogether new method specifically designed to provide a straightforward proof that there is no possible solution for some family of systems of Diophantine linear equations which share the same dependent terms while differing in its independent terms. On the basis of this novel approach, a definition of testers is given and consequently used to shape this particular method, as illustrated with some suitable examples.

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Year of publication:	2009
Authors:	Hernando, Antonio ; de Ledesma, Luis ; Laita, Luis M.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 79.2009, 11, p. 3211-3220
Publisher:	Elsevier
Subject:	Number theory \| Diophantine equations \| Linear Diophantine

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010749198