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

Antonio Hernando, Luis de Ledesma and Luis M. Laita

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 11, 3211-3220

Abstract: 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.

Keywords: Number theory; Diophantine equations; Linear Diophantine (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:11:p:3211-3220

DOI: 10.1016/j.matcom.2009.03.004

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