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In this paper, we study the diophantine equation $$ax^{3} + by + c = xyz$$ax3+by+c=xyz and we produce an upper bound for the number of positive integral solutions (x, y, z) of… Click to show full abstract
In this paper, we study the diophantine equation $$ax^{3} + by + c = xyz$$ax3+by+c=xyz and we produce an upper bound for the number of positive integral solutions (x, y, z) of the equation. Through this, we study a conjecture of A. Togbé concerning the number of positive integral solutions (x, y, z) of the equation when $$a= 1$$a=1 and $$c = 4$$c=4.
Keywords:
ax3 xyz;
equation xyz;
diophantine equation;
xyz ax3;
xyz;
equation
Journal Title: Afrika Matematika
Year Published: 2017
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Journal Title: Afrika Matematika
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!