On systems of diophantine equations with a large number of solutions
Jerzy Browkin
Colloquium Mathematicae, Tome 120 (2010), p. 195-201 / Harvested from The Polish Digital Mathematics Library
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We consider systems of equations of the form xi+xj=xk and xi·xj=xk, 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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:284132 
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     title = {On systems of diophantine equations with a large number of solutions},
     journal = {Colloquium Mathematicae},
     volume = {120},
     year = {2010},
     pages = {195-201},
     zbl = {1206.11039},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-3}
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Jerzy Browkin. On systems of diophantine equations with a large number of solutions. Colloquium Mathematicae, Tome 120 (2010) pp. 195-201. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-3/