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On generating solutions of the Diophantine equation x 2 + y 2 = u 2 + v 2

✍ Scribed by Davies, H.B.


Book ID
126761273
Publisher
Taylor and Francis Group
Year
1984
Tongue
English
Weight
177 KB
Volume
15
Category
Article
ISSN
0020-739X

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πŸ“œ SIMILAR VOLUMES


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The theorem of Delaunay Nagell states that: If d is a cube-free integer >1, then the equation x 3 +dy 3 =1 has at most one solution in non-zero integers x, y, and if such a solution exists then x+ y 3 -d is either the fundamental unit of the field Q( 3d ) or its square, the latter occurring for only