On systems of diophantine equations with a large number of solutions

Jerzy Browkin. "On systems of diophantine equations with a large number of solutions." Colloquium Mathematicae 121.2 (2010): 195-201. <http://eudml.org/doc/284132>.

@article{JerzyBrowkin2010,
abstract = {We consider systems of equations of the form $x_i + x_j = x_k$ and $x_i · x_j = x_k$, 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.},
author = {Jerzy Browkin},
journal = {Colloquium Mathematicae},
language = {eng},
number = {2},
pages = {195-201},
title = {On systems of diophantine equations with a large number of solutions},
url = {http://eudml.org/doc/284132},
volume = {121},
year = {2010},
}

TY - JOUR
AU - Jerzy Browkin
TI - On systems of diophantine equations with a large number of solutions
JO - Colloquium Mathematicae
PY - 2010
VL - 121
IS - 2
SP - 195
EP - 201
AB - We consider systems of equations of the form $x_i + x_j = x_k$ and $x_i · x_j = x_k$, 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.
LA - eng
UR - http://eudml.org/doc/284132
ER -