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The diophantine equation x3 − 3xy2 − y3 = 1 and related equations

✍ Scribed by Nicholas Tzanakis


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
540 KB
Volume
18
Category
Article
ISSN
0022-314X

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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