Existence and Number of Solutions of Diophantine Quadratic Equations with Two Unknowns in $Z$ and $N$

Details Existence and Number of Solutions of Diophantine Quadratic Equations with Two Unknowns in $Z$ and $N$ Existence and Number of Solutions of Diophantine Quadratic Equations with Two Unknowns in $Z$ and $N$

2007-04-27

arxiv.org/abs/0704.3716v1

Published in the book "Generalisations et Generalites" [French], by F. Smarandache, Ed. Nouvelle, F\`es, Marocco, pp. 39-40, 1

Mathematics

General Mathematics

2 pages

Scientific paper

In this short note we study the existence and number of solutions in the set
of integers ($Z$) and in the set of natural numbers ($N$) of Diopahntine
Equations of second degree with two variables of the general form
$ax^2-by^2=c$.

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