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On the diophantine equation x2+D=4yq

✍ Scribed by W. Ljunggren


Publisher
Springer Vienna
Year
1971
Tongue
English
Weight
334 KB
Volume
75
Category
Article
ISSN
0026-9255

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On the Diophantine Equation x2+q2k+1=yn
✍ S.A. Arif; Fadwa S. Abu Muriefah πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 89 KB

In this paper it has been proved that if q is an odd prime, qc7 Γ°mod 8Þ; n is an odd integer 55, n is not a multiple of 3 and Γ°h; nÞ ΒΌ 1, where h is the class number of the filed QΓ° ffiffiffiffiffiffi ffi Γ€q p Þ, then the diophantine equation x 2 ΓΎ q 2kΓΎ1 ΒΌ y n has exactly two families of solutions