On the Diophantine Equation x2+q2k+1=yn
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S.A. Arif; Fadwa S. Abu Muriefah
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Article
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2002
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Elsevier Science
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English
β 89 KB
In this paper it has been proved that if q is an odd prime, qc7 Γ°mod 8Γ; n is an odd integer 55, n is not a multiple of 3 and Γ°h; nΓ ΒΌ 1, where h is the class number of the filed QΓ° ffiffiffiffiffiffi ffi Γq p Γ, then the diophantine equation x 2 ΓΎ q 2kΓΎ1 ΒΌ y n has exactly two families of solutions