Resumen de On the existence of solutions in systems of linear Diophantine equations

Antonio Hernando, Luis de Ledesma Otamendi

• The question about the existence of solutions in a family of systems of Diophantine linear equations can be always answered by means of a set of functions called 'Testers'. In this paper, we will propose a procedure to obtain this set of 'Testers' (named complete set of testers) which characterizes each family of systems of Diophantine equations. © 2011 Springer-Verlag.