A Study on Two Curious Diophantine Problems

Abstract

In this communication, an attempt has been made to obtain pairs of non-zero distinct integers such that, in each pair,

i) The square of the sum added with the cube of the sum is equal to two times the sum of the cubes of the corresponding integers.

ii) 2k times the square of the sum added with the cube of the sum is equal to two times the sum of the cubes of the corresponding integers.

Keywords

binary cubic diophantine problems integer solutions.

  • Research Identity (RIN)

  • License

    Attribution 2.0 Generic (CC BY 2.0)

  • Language & Pages

    English, 13-16

  • Classification

    FOR Code: 11D99