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A note on the diophantine equation (xm − l) / (x − 1) = yn + l

Published online by Cambridge University Press:  24 October 2008

Le Maohua
Le Maohua
Affiliation:
Department of Mathematics, Hunan Normal University, Changsha, Hunan, P.R., China
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Extract

Let ℤ, ℕ, ℚ denote the sets of integers, positive integers and rational numbers, respectively. Solutions (x, y, m, n) of the equation (1) have been investigated in many papers:

Let ω(m), ρ(m) denote the number of distinct prime factors and the greatest square free factor of m, respectively. In this note we prove the following results.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 116 , Issue 3 , November 1994 , pp. 385 - 389
Copyright
Copyright © Cambridge Philosophical Society 1994

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References

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