A Glimpse on the Non-homogeneous Quaternary Octic Surface x3+y3=2(a2+3b2) zw7

Key Points

• The paper aims to derive non-zero distinct integer solutions for a specific non-homogeneous quaternary octic equation.
• Utilized substitution technique for solving equations.
• Employed factorization method to derive solutions.
• Focused on the equation x^3 + y^3 = (a^2 + 3b^2) zw^7.
• Successfully obtained multiple non-zero distinct integer solutions.
• Demonstrated effectiveness of the substitution and factorization methods.