The ternary cubic equation of the integral solutions 5(x2 + y2) − 6xy + 4(x + y + 1) = 6100Z3.

Autor: Manikandan, K., Venkatraman, R.
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Zdroj: AIP Conference Proceedings; 2023, Vol. 2852 Issue 1, p1-4, 4p
Abstrakt: This study examines the Diophantine equation 5(x2 + y2) − 6xy + 4(x + y + 1) = 6100Z3, which is a non-homogeneous cubic equation with three unknowns. A few remarkable polygonal numbers, the components of non-zero integral solutions, and several intriguing traits of the given equation's solutions are all explored. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index