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 not possible solution for some family of systems of Diophantine linear equations which share the same dependent terms while differing in its independent terms. Oil the basis of this novel approach, a definition of testers is given and consequently used to shape this particular method, as illustrated with Sonic Suitable examples. (C) 2009 Published by Elsevier B.V. on behalf of IMACS.
linear diophantine diophantine equations number theory