On systems of diophantine equations with a large number of solutions
Volume 121 / 2010
Colloquium Mathematicum 121 (2010), 195-201
MSC: 11D45, 11D72, 11E25.
DOI: 10.4064/cm121-2-3
Abstract
We consider systems of equations of the form $x_i+x_j=x_k$ and $x_i\cdot x_j=x_k,$ which have finitely many integer solutions, proposed by A. Tyszka. For such a system we construct a slightly larger one with much more solutions than the given one.
