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The Diophantine Equation X³ = u+v over Real Quadratic Fields

Takaaki Kagawa (2011)

Bulletin of the Polish Academy of Sciences. Mathematics

Let k be a real quadratic field and let k and k × be the ring of integers and the group of units, respectively. A method of solving the Diophantine equation X³ = u+v ( X k , u , v k × ) is developed.

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