Number Theory

    

Commentary on A^3+b^3 = 2(2^5 C^3)

Authors: Fian Qnoz

Diophantine equation of the form a^3+b^3 = 2(2^5 - c^3)relates to the quadratic equation 1 + 4n + 4n^2 which further relates to 1x^3 + 4y^3 + 4z^3 = 512 whose parametric solution for x is exactly is the twice of the square of odd number > 1, i.e. 2(2n+1)^2. Considering phi (sum of the odd divisors of 2(2n+1)^2) is exactly equal to phi (sum of the even divisors of 2(2n+1)^2), some interesting properties involving Piltz functions and Jordan totients were conjectured.

Comments: 6 Pages. (Note by viXra Admin: Please cite and list scientific references)

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[v1] 2025-09-30 20:57:24

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