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The ternary cubic equation of the integral solutions 5(x2 + y2) − 6xy + 4(x + y + 1) = 6100Z3.
- Source :
- AIP Conference Proceedings; 2023, Vol. 2852 Issue 1, p1-4, 4p
- Publication Year :
- 2023
-
Abstract
- This study examines the Diophantine equation 5(x<superscript>2</superscript> + y<superscript>2</superscript>) − 6xy + 4(x + y + 1) = 6100Z<superscript>3</superscript>, 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]
- Subjects :
- INTEGRAL equations
POLYGONAL numbers
CUBIC equations
DIOPHANTINE equations
Subjects
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2852
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 171344012
- Full Text :
- https://doi.org/10.1063/5.0164562