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An exponential diophantine equation

Published online by Cambridge University Press:  17 April 2009

Maohua Le
Maohua Le
Affiliation:
Department of Mathmatics, Zhanjiang Normal College, Postal code 524048, Zhanjiang, Guangdong, People's Republic of China
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Abstract

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Let p be an odd prime with p > 3. In this paper we give all positive integer solutions (x, y, m, n) of the equation x2 + p2m = yn, gcd (x, y) = 1, n > 2 satisfying 2 | n of 2 ∤ n and p ≢ (−1)(p−1)/2(mod 4n.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 1 , August 2001 , pp. 99 - 105
Copyright
Copyright © Australian Mathematical Society 2001

References

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