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On the diophantine equation $X^6-Y^6 = W^n-Z^n, n=2,3,4$

Seiji Tomita

Abstract

In this paper, we proved that there are infinitely many integer solutions of $X^6 - Y^6 = W^n - Z^n,\ n=2,3,4$.

On the diophantine equation $X^6-Y^6 = W^n-Z^n, n=2,3,4$

Abstract

In this paper, we proved that there are infinitely many integer solutions of .
Paper Structure (7 sections, 44 equations)

This paper contains 7 sections, 44 equations.

Table of Contents

  1. Introduction
  2. Solving the diophantine equation $X^6 - Y^6 = W^2 - Z^2$
  3. Solving the diophantine equation $X^6-Y^6=W^3-Z^3$
  4. Solving the diophantine equation $X^6 - Y^6 = R^4 - S^4$
  5. Method-1
  6. Method-2
  7. Concluding Remarks