# Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

## On systems of diophantine equations with a large number of solutions

### Tom 121 / 2010

Colloquium Mathematicum 121 (2010), 195-201 MSC: 11D45, 11D72, 11E25. DOI: 10.4064/cm121-2-3

#### Streszczenie

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.

#### Autorzy

• Jerzy BrowkinInstitute of Mathematics