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On the diophantine equation y2 = 4qn + 4q + 1

✍ Scribed by Nikos Tzanakis; John Wolfskill

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
837 KB
Volume
23
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES

The diophantine equation y2 + k = x3
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On the Diophantine Equation x2+q2k+1=yn
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