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

✍ Scribed by Antonio Hernando; Luis de Ledesma; Luis M. Laita

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
145 KB
Volume
79
Category
Article
ISSN
0378-4754

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✦ Synopsis

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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