Some remarks on the Diophantine equation

  title={Some remarks on the Diophantine equation},
  author={H. M. Edgar},
  • H. M. Edgar
  • Published 1965
  • Mathematics, Physics
  • HUGH MAXWELL EDGAR In order to avoid certain trivial solutions of the Diophantine equation x3+y3+z3 = x+y+z we initially assume x^y^O, z<0 and x¿¿ — z. All letters will indicate rational integers throughout, with the exception of k, t, M which denote rational numbers. S. L. Segal [l] has shown that if x = y then only finitely many solutions are forthcoming. Generalizing the method of Segal slightly we prove the following result: Theorem 1. If A, B, C and D are given nonzero integers satisfying… CONTINUE READING
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