Some remarks on the Diophantine equation

H. M. Edgar

DOI:10.1090/S0002-9939-1965-0170859-3

Corpus ID: 116959974

Some remarks on the Diophantine equation

@inproceedings{Edgar1965SomeRO,
  title={Some remarks on the Diophantine equation},
  author={H. M. Edgar},
  year={1965}
}

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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