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A note on the diophantine equation x2+ 1 = dy4

✍ Scribed by Chen Jian Hua


Book ID
112946278
Publisher
Vandenhoeck & Ruprecht
Year
1994
Tongue
German
Weight
287 KB
Volume
64
Category
Article
ISSN
0025-5858

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πŸ“œ SIMILAR VOLUMES


The Diophantine Equation x3 = dy3+1
✍ Cohn, J. H. E. πŸ“‚ Article πŸ“… 1967 πŸ› Oxford University Press 🌐 English βš– 71 KB
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