scholarly journals INTEGRAL SOLUTIONS OF THE TERNARY CUBIC EQUATION

2014 ◽  
Vol 03 (11) ◽  
pp. 449-452
Author(s):  
S. Vidhyalakshmi .
Keyword(s):  
Cubic Equation ◽  
Integral Solutions

scholarly journals LATTICE POINTS ON THE HOMOGENEOUS CUBIC EQUATION WITH FOUR UNKNOWNS x2 - xy + y2 + 4w2 = 8z3

2020 ◽  
Vol 8 (8) ◽  
Author(s):  
Manju Somanath ◽  
Radhika Das ◽  
V.A Bindu
Keyword(s):  
Three Dimensional ◽  
Lattice Points ◽  
Cubic Equation ◽  
Figurate Number ◽  
Integral Solutions

The Homogeneous cubic equation with four unknowns represented by the equation x2 - xy + y2 + 4w2 = 8z3  is analyzed for its patterns of non zero distinct integral solutions. Here we exhibit four different patterns. In each pattern we can find some interesting relations between the solutions and special numbers like Polygonal number, Three-Dimensional Figurate number, Star number, Rhombic Dodecahedral number etc.

scholarly journals Integral Solutions of the Ternary Cubic Equation 6(x^2+y^2 )-11xy=288z^3

2022 ◽  
Vol 10 (1) ◽  
pp. 62-65
Author(s):  
C. Saranya
Keyword(s):  
Infinite Number ◽  
Diophantine Equation ◽  
Cubic Equation ◽  
Zero Integral ◽  
Integral Solutions

Abstract: The Ternary cubic Diophantine Equation represented by૟(࢞ ࢟ + ૛ ࢠૡૡ = ૛࢟࢞૚૚ − (૛ ૜ is analyzed for its infinite number of non-zero integral solutions. A few interesting among the solutions are also discussed. Keywords: Diophantine equation, Integral solutions, cubic equation with three unknowns, Ternary equation.

A New Solution of the Cubic Equation

1898 ◽  
Vol 5 (2) ◽  
pp. 38 ◽  
Author(s):  
L. E. Dickson
Keyword(s):  
Cubic Equation

scholarly journals The Joukowsky Map Reveals the Cubic Equation

2019 ◽  
Vol 126 (1) ◽  
pp. 33-40
Author(s):  
Javier Sánchez-Reyes
Keyword(s):  
Cubic Equation

Path-integral solutions of wave equations with dissipation

1989 ◽  
Vol 62 (19) ◽  
pp. 2201-2204 ◽  
Author(s):  
Cecile DeWitt-Morette ◽  
See Kit Foong
Keyword(s):  
Path Integral ◽  
Wave Equations ◽  
Solutions Of Wave Equations ◽  
Integral Solutions
Sign in / Sign up

Export Citation Format

Share Document