On systems of diophantine equations with
a large number of solutions
Colloquium Mathematicum, Tome 121 (2010) no. 2, pp. 195-201
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
consider systems equations form j cdot k which have finitely many integer solutions proposed tyszka system construct slightly larger much solutions given
Affiliations des auteurs :
Jerzy Browkin 1
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author = {Jerzy Browkin},
title = {On systems of diophantine equations with
a large number of solutions},
journal = {Colloquium Mathematicum},
pages = {195--201},
publisher = {mathdoc},
volume = {121},
number = {2},
year = {2010},
doi = {10.4064/cm121-2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm121-2-3/}
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TY - JOUR AU - Jerzy Browkin TI - On systems of diophantine equations with a large number of solutions JO - Colloquium Mathematicum PY - 2010 SP - 195 EP - 201 VL - 121 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm121-2-3/ DO - 10.4064/cm121-2-3 LA - en ID - 10_4064_cm121_2_3 ER -
Jerzy Browkin. On systems of diophantine equations with a large number of solutions. Colloquium Mathematicum, Tome 121 (2010) no. 2, pp. 195-201. doi: 10.4064/cm121-2-3
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