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Notes on the diophantine equationy2−k=x3

✍ Scribed by Ove Hemer

Book ID
112788602
Publisher
Springer Netherlands
Year
1954
Tongue
English
Weight
523 KB
Volume
3
Category
Article
ISSN
0004-2080

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The diophantine equation y2 + k = x3
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On the Diophantine Equation x2+q2k+1=yn
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✍ S.A. Arif; Fadwa S. Abu Muriefah 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 89 KB

In this paper it has been proved that if q is an odd prime, qc7 ðmod 8Þ; n is an odd integer 55, n is not a multiple of 3 and ðh; nÞ ¼ 1, where h is the class number of the filed Qð ffiffiffiffiffiffi ffi Àq p Þ, then the diophantine equation x 2 þ q 2kþ1 ¼ y n has exactly two families of solutions