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A New Solution of the Diophantine Equation X2 + 1 = 2Y4

โœ Scribed by J.H. Chen


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
286 KB
Volume
48
Category
Article
ISSN
0022-314X

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On the Diophantine Equation x2+q2k+1=yn
โœ S.A. Arif; Fadwa S. Abu Muriefah ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 89 KB

In this paper it has been proved that if q is an odd prime, qc7 รฐmod 8รž; n is an odd integer 55, n is not a multiple of 3 and รฐh; nรž ยผ 1, where h is the class number of the filed Qรฐ ffiffiffiffiffiffi ffi ร€q p รž, then the diophantine equation x 2 รพ q 2kรพ1 ยผ y n has exactly two families of solutions